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Finding the Fourth Proportional to 1,242.71, 1,714.87 and 683.17

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Solution

The fourth proportional to 1,242.71, 1,714.87 and 683.17 is: 942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.71 : 1,714.87 = 683.17 : x
  2. Step 2: Convert to fraction form
    1,242.71/1,714.87 = 683.17/x
  3. Step 3: Cross multiply
    1,242.71x = 1,714.87 × 683.17
  4. Step 4: Simplify right side
    1,242.71x = 1,171,547.74
  5. Step 5: Solve for x
    x = 1,171,547.74/1,242.71
  6. Step 6: Final answer
    x = 942.74

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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.