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Finding the Fourth Proportional to 1,038.73, 1,432.35 and 772.75

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Solution

The fourth proportional to 1,038.73, 1,432.35 and 772.75 is: 1,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.73 : 1,432.35 = 772.75 : x
  2. Step 2: Convert to fraction form
    1,038.73/1,432.35 = 772.75/x
  3. Step 3: Cross multiply
    1,038.73x = 1,432.35 × 772.75
  4. Step 4: Simplify right side
    1,038.73x = 1,106,848.46
  5. Step 5: Solve for x
    x = 1,106,848.46/1,038.73
  6. Step 6: Final answer
    x = 1,065.58

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.