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Finding the Fourth Proportional to 1,032.64, 1,425.06 and 566.89

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Solution

The fourth proportional to 1,032.64, 1,425.06 and 566.89 is: 782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.64 : 1,425.06 = 566.89 : x
  2. Step 2: Convert to fraction form
    1,032.64/1,425.06 = 566.89/x
  3. Step 3: Cross multiply
    1,032.64x = 1,425.06 × 566.89
  4. Step 4: Simplify right side
    1,032.64x = 807,852.26
  5. Step 5: Solve for x
    x = 807,852.26/1,032.64
  6. Step 6: Final answer
    x = 782.32

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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.