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Finding the Fourth Proportional to 1,042.90, 1,564.62 and 393.64

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Solution

The fourth proportional to 1,042.90, 1,564.62 and 393.64 is: 590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.90 : 1,564.62 = 393.64 : x
  2. Step 2: Convert to fraction form
    1,042.90/1,564.62 = 393.64/x
  3. Step 3: Cross multiply
    1,042.90x = 1,564.62 × 393.64
  4. Step 4: Simplify right side
    1,042.90x = 615,897.02
  5. Step 5: Solve for x
    x = 615,897.02/1,042.90
  6. Step 6: Final answer
    x = 590.56

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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.