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Finding the Fourth Proportional to 1,046.66, 1,569.98 and 316.76

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Solution

The fourth proportional to 1,046.66, 1,569.98 and 316.76 is: 475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.66 : 1,569.98 = 316.76 : x
  2. Step 2: Convert to fraction form
    1,046.66/1,569.98 = 316.76/x
  3. Step 3: Cross multiply
    1,046.66x = 1,569.98 × 316.76
  4. Step 4: Simplify right side
    1,046.66x = 497,306.86
  5. Step 5: Solve for x
    x = 497,306.86/1,046.66
  6. Step 6: Final answer
    x = 475.14

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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.