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Finding the Fourth Proportional to 1,042.88, 1,564.78 and 555.82

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Solution

The fourth proportional to 1,042.88, 1,564.78 and 555.82 is: 833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.88 : 1,564.78 = 555.82 : x
  2. Step 2: Convert to fraction form
    1,042.88/1,564.78 = 555.82/x
  3. Step 3: Cross multiply
    1,042.88x = 1,564.78 × 555.82
  4. Step 4: Simplify right side
    1,042.88x = 869,736.02
  5. Step 5: Solve for x
    x = 869,736.02/1,042.88
  6. Step 6: Final answer
    x = 833.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.