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Finding the Fourth Proportional to 758.30, 1,137.64 and 542.30

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Solution

The fourth proportional to 758.30, 1,137.64 and 542.30 is: 813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.30 : 1,137.64 = 542.30 : x
  2. Step 2: Convert to fraction form
    758.30/1,137.64 = 542.30/x
  3. Step 3: Cross multiply
    758.30x = 1,137.64 × 542.30
  4. Step 4: Simplify right side
    758.30x = 616,942.17
  5. Step 5: Solve for x
    x = 616,942.17/758.30
  6. Step 6: Final answer
    x = 813.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.