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Finding the Fourth Proportional to 1,046.04, 1,569.08 and 276.54

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Solution

The fourth proportional to 1,046.04, 1,569.08 and 276.54 is: 414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.04 : 1,569.08 = 276.54 : x
  2. Step 2: Convert to fraction form
    1,046.04/1,569.08 = 276.54/x
  3. Step 3: Cross multiply
    1,046.04x = 1,569.08 × 276.54
  4. Step 4: Simplify right side
    1,046.04x = 433,913.38
  5. Step 5: Solve for x
    x = 433,913.38/1,046.04
  6. Step 6: Final answer
    x = 414.82

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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.