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Finding the Fourth Proportional to 1,038.53, 1,433.14 and 572.75

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Solution

The fourth proportional to 1,038.53, 1,433.14 and 572.75 is: 790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.53 : 1,433.14 = 572.75 : x
  2. Step 2: Convert to fraction form
    1,038.53/1,433.14 = 572.75/x
  3. Step 3: Cross multiply
    1,038.53x = 1,433.14 × 572.75
  4. Step 4: Simplify right side
    1,038.53x = 820,830.94
  5. Step 5: Solve for x
    x = 820,830.94/1,038.53
  6. Step 6: Final answer
    x = 790.38

Related Problems

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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.