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Finding the Fourth Proportional to 954.38, 1,430.52 and 542.64

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Solution

The fourth proportional to 954.38, 1,430.52 and 542.64 is: 813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.38 : 1,430.52 = 542.64 : x
  2. Step 2: Convert to fraction form
    954.38/1,430.52 = 542.64/x
  3. Step 3: Cross multiply
    954.38x = 1,430.52 × 542.64
  4. Step 4: Simplify right side
    954.38x = 776,257.37
  5. Step 5: Solve for x
    x = 776,257.37/954.38
  6. Step 6: Final answer
    x = 813.36

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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.