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Finding the Fourth Proportional to 1,232.47, 1,700.49 and 734.89

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Solution

The fourth proportional to 1,232.47, 1,700.49 and 734.89 is: 1,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.47 : 1,700.49 = 734.89 : x
  2. Step 2: Convert to fraction form
    1,232.47/1,700.49 = 734.89/x
  3. Step 3: Cross multiply
    1,232.47x = 1,700.49 × 734.89
  4. Step 4: Simplify right side
    1,232.47x = 1,249,673.10
  5. Step 5: Solve for x
    x = 1,249,673.10/1,232.47
  6. Step 6: Final answer
    x = 1,013.96

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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.