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Finding the Fourth Proportional to 1,042.82, 1,564.86 and 465.68

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Solution

The fourth proportional to 1,042.82, 1,564.86 and 465.68 is: 698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.82 : 1,564.86 = 465.68 : x
  2. Step 2: Convert to fraction form
    1,042.82/1,564.86 = 465.68/x
  3. Step 3: Cross multiply
    1,042.82x = 1,564.86 × 465.68
  4. Step 4: Simplify right side
    1,042.82x = 728,724.00
  5. Step 5: Solve for x
    x = 728,724.00/1,042.82
  6. Step 6: Final answer
    x = 698.80

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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.