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Finding the Fourth Proportional to 1,311.48, 1,966.32 and 581.76

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Solution

The fourth proportional to 1,311.48, 1,966.32 and 581.76 is: 872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.48 : 1,966.32 = 581.76 : x
  2. Step 2: Convert to fraction form
    1,311.48/1,966.32 = 581.76/x
  3. Step 3: Cross multiply
    1,311.48x = 1,966.32 × 581.76
  4. Step 4: Simplify right side
    1,311.48x = 1,143,926.32
  5. Step 5: Solve for x
    x = 1,143,926.32/1,311.48
  6. Step 6: Final answer
    x = 872.24

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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.