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Finding the Fourth Proportional to 1,032.61, 1,424.91 and 566.86

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Solution

The fourth proportional to 1,032.61, 1,424.91 and 566.86 is: 782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.61 : 1,424.91 = 566.86 : x
  2. Step 2: Convert to fraction form
    1,032.61/1,424.91 = 566.86/x
  3. Step 3: Cross multiply
    1,032.61x = 1,424.91 × 566.86
  4. Step 4: Simplify right side
    1,032.61x = 807,723.05
  5. Step 5: Solve for x
    x = 807,723.05/1,032.61
  6. Step 6: Final answer
    x = 782.22

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Why These Related Problems?

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