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Finding the Fourth Proportional to 1,246.83, 1,720.55 and 687.19

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Solution

The fourth proportional to 1,246.83, 1,720.55 and 687.19 is: 948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.83 : 1,720.55 = 687.19 : x
  2. Step 2: Convert to fraction form
    1,246.83/1,720.55 = 687.19/x
  3. Step 3: Cross multiply
    1,246.83x = 1,720.55 × 687.19
  4. Step 4: Simplify right side
    1,246.83x = 1,182,342.17
  5. Step 5: Solve for x
    x = 1,182,342.17/1,246.83
  6. Step 6: Final answer
    x = 948.28

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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.