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Finding the Fourth Proportional to 1,232.10, 1,700.47 and 708.04

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Solution

The fourth proportional to 1,232.10, 1,700.47 and 708.04 is: 977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.10 : 1,700.47 = 708.04 : x
  2. Step 2: Convert to fraction form
    1,232.10/1,700.47 = 708.04/x
  3. Step 3: Cross multiply
    1,232.10x = 1,700.47 × 708.04
  4. Step 4: Simplify right side
    1,232.10x = 1,204,000.78
  5. Step 5: Solve for x
    x = 1,204,000.78/1,232.10
  6. Step 6: Final answer
    x = 977.19

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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.