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Finding the Fourth Proportional to 1,239.72, 1,710.96 and 715.80

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Solution

The fourth proportional to 1,239.72, 1,710.96 and 715.80 is: 987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.72 : 1,710.96 = 715.80 : x
  2. Step 2: Convert to fraction form
    1,239.72/1,710.96 = 715.80/x
  3. Step 3: Cross multiply
    1,239.72x = 1,710.96 × 715.80
  4. Step 4: Simplify right side
    1,239.72x = 1,224,705.17
  5. Step 5: Solve for x
    x = 1,224,705.17/1,239.72
  6. Step 6: Final answer
    x = 987.89

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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.