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Finding the Fourth Proportional to 711.77, 1,066.01 and 687.15

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Solution

The fourth proportional to 711.77, 1,066.01 and 687.15 is: 1,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.77 : 1,066.01 = 687.15 : x
  2. Step 2: Convert to fraction form
    711.77/1,066.01 = 687.15/x
  3. Step 3: Cross multiply
    711.77x = 1,066.01 × 687.15
  4. Step 4: Simplify right side
    711.77x = 732,509.20
  5. Step 5: Solve for x
    x = 732,509.20/711.77
  6. Step 6: Final answer
    x = 1,029.14

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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.