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Finding the Fourth Proportional to 975.43, 1,464.16 and 542.89

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Solution

The fourth proportional to 975.43, 1,464.16 and 542.89 is: 814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.43 : 1,464.16 = 542.89 : x
  2. Step 2: Convert to fraction form
    975.43/1,464.16 = 542.89/x
  3. Step 3: Cross multiply
    975.43x = 1,464.16 × 542.89
  4. Step 4: Simplify right side
    975.43x = 794,877.82
  5. Step 5: Solve for x
    x = 794,877.82/975.43
  6. Step 6: Final answer
    x = 814.90

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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.