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Finding the Fourth Proportional to 1,032.59, 1,424.98 and 566.84

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Solution

The fourth proportional to 1,032.59, 1,424.98 and 566.84 is: 782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.59 : 1,424.98 = 566.84 : x
  2. Step 2: Convert to fraction form
    1,032.59/1,424.98 = 566.84/x
  3. Step 3: Cross multiply
    1,032.59x = 1,424.98 × 566.84
  4. Step 4: Simplify right side
    1,032.59x = 807,735.66
  5. Step 5: Solve for x
    x = 807,735.66/1,032.59
  6. Step 6: Final answer
    x = 782.24

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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.