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Finding the Fourth Proportional to 985.12, 1,359.41 and 542.93

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Solution

The fourth proportional to 985.12, 1,359.41 and 542.93 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.12 : 1,359.41 = 542.93 : x
  2. Step 2: Convert to fraction form
    985.12/1,359.41 = 542.93/x
  3. Step 3: Cross multiply
    985.12x = 1,359.41 × 542.93
  4. Step 4: Simplify right side
    985.12x = 738,064.47
  5. Step 5: Solve for x
    x = 738,064.47/985.12
  6. Step 6: Final answer
    x = 749.21

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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.