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Finding the Fourth Proportional to 711.07, 1,066.78 and 565.37

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Solution

The fourth proportional to 711.07, 1,066.78 and 565.37 is: 848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.07 : 1,066.78 = 565.37 : x
  2. Step 2: Convert to fraction form
    711.07/1,066.78 = 565.37/x
  3. Step 3: Cross multiply
    711.07x = 1,066.78 × 565.37
  4. Step 4: Simplify right side
    711.07x = 603,125.41
  5. Step 5: Solve for x
    x = 603,125.41/711.07
  6. Step 6: Final answer
    x = 848.19

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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.