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Finding the Fourth Proportional to 962.43, 1,328.16 and 537.06

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Solution

The fourth proportional to 962.43, 1,328.16 and 537.06 is: 741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.43 : 1,328.16 = 537.06 : x
  2. Step 2: Convert to fraction form
    962.43/1,328.16 = 537.06/x
  3. Step 3: Cross multiply
    962.43x = 1,328.16 × 537.06
  4. Step 4: Simplify right side
    962.43x = 713,301.61
  5. Step 5: Solve for x
    x = 713,301.61/962.43
  6. Step 6: Final answer
    x = 741.15

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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.