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Finding the Fourth Proportional to 1,240.31, 1,711.70 and 716.38

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Solution

The fourth proportional to 1,240.31, 1,711.70 and 716.38 is: 988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.31 : 1,711.70 = 716.38 : x
  2. Step 2: Convert to fraction form
    1,240.31/1,711.70 = 716.38/x
  3. Step 3: Cross multiply
    1,240.31x = 1,711.70 × 716.38
  4. Step 4: Simplify right side
    1,240.31x = 1,226,222.47
  5. Step 5: Solve for x
    x = 1,226,222.47/1,240.31
  6. Step 6: Final answer
    x = 988.64

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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.