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Finding the Fourth Proportional to 763.49, 1,050.87 and 542.05

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Solution

The fourth proportional to 763.49, 1,050.87 and 542.05 is: 746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.49 : 1,050.87 = 542.05 : x
  2. Step 2: Convert to fraction form
    763.49/1,050.87 = 542.05/x
  3. Step 3: Cross multiply
    763.49x = 1,050.87 × 542.05
  4. Step 4: Simplify right side
    763.49x = 569,624.08
  5. Step 5: Solve for x
    x = 569,624.08/763.49
  6. Step 6: Final answer
    x = 746.08

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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.