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Finding the Fourth Proportional to 1,044.04, 1,565.58 and 313.66

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Solution

The fourth proportional to 1,044.04, 1,565.58 and 313.66 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.04 : 1,565.58 = 313.66 : x
  2. Step 2: Convert to fraction form
    1,044.04/1,565.58 = 313.66/x
  3. Step 3: Cross multiply
    1,044.04x = 1,565.58 × 313.66
  4. Step 4: Simplify right side
    1,044.04x = 491,059.82
  5. Step 5: Solve for x
    x = 491,059.82/1,044.04
  6. Step 6: Final answer
    x = 470.35

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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.