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Finding the Fourth Proportional to 954.04, 1,429.69 and 542.30

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Solution

The fourth proportional to 954.04, 1,429.69 and 542.30 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.04 : 1,429.69 = 542.30 : x
  2. Step 2: Convert to fraction form
    954.04/1,429.69 = 542.30/x
  3. Step 3: Cross multiply
    954.04x = 1,429.69 × 542.30
  4. Step 4: Simplify right side
    954.04x = 775,323.11
  5. Step 5: Solve for x
    x = 775,323.11/954.04
  6. Step 6: Final answer
    x = 812.68

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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.