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Finding the Fourth Proportional to 962.15, 1,443.87 and 597.13

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Solution

The fourth proportional to 962.15, 1,443.87 and 597.13 is: 896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.15 : 1,443.87 = 597.13 : x
  2. Step 2: Convert to fraction form
    962.15/1,443.87 = 597.13/x
  3. Step 3: Cross multiply
    962.15x = 1,443.87 × 597.13
  4. Step 4: Simplify right side
    962.15x = 862,174.48
  5. Step 5: Solve for x
    x = 862,174.48/962.15
  6. Step 6: Final answer
    x = 896.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.