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Finding the Fourth Proportional to 1,046.56, 1,569.72 and 277.12

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Solution

The fourth proportional to 1,046.56, 1,569.72 and 277.12 is: 415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.56 : 1,569.72 = 277.12 : x
  2. Step 2: Convert to fraction form
    1,046.56/1,569.72 = 277.12/x
  3. Step 3: Cross multiply
    1,046.56x = 1,569.72 × 277.12
  4. Step 4: Simplify right side
    1,046.56x = 435,000.81
  5. Step 5: Solve for x
    x = 435,000.81/1,046.56
  6. Step 6: Final answer
    x = 415.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.