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Finding the Fourth Proportional to 758.18, 1,044.50 and 536.78

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Solution

The fourth proportional to 758.18, 1,044.50 and 536.78 is: 739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.18 : 1,044.50 = 536.78 : x
  2. Step 2: Convert to fraction form
    758.18/1,044.50 = 536.78/x
  3. Step 3: Cross multiply
    758.18x = 1,044.50 × 536.78
  4. Step 4: Simplify right side
    758.18x = 560,666.71
  5. Step 5: Solve for x
    x = 560,666.71/758.18
  6. Step 6: Final answer
    x = 739.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.