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Finding the Fourth Proportional to 711.24, 1,064.80 and 538.64

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Solution

The fourth proportional to 711.24, 1,064.80 and 538.64 is: 806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.24 : 1,064.80 = 538.64 : x
  2. Step 2: Convert to fraction form
    711.24/1,064.80 = 538.64/x
  3. Step 3: Cross multiply
    711.24x = 1,064.80 × 538.64
  4. Step 4: Simplify right side
    711.24x = 573,543.87
  5. Step 5: Solve for x
    x = 573,543.87/711.24
  6. Step 6: Final answer
    x = 806.40

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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.