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Finding the Fourth Proportional to 1,061.34, 1,464.08 and 812.31

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Solution

The fourth proportional to 1,061.34, 1,464.08 and 812.31 is: 1,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.34 : 1,464.08 = 812.31 : x
  2. Step 2: Convert to fraction form
    1,061.34/1,464.08 = 812.31/x
  3. Step 3: Cross multiply
    1,061.34x = 1,464.08 × 812.31
  4. Step 4: Simplify right side
    1,061.34x = 1,189,282.76
  5. Step 5: Solve for x
    x = 1,189,282.76/1,061.34
  6. Step 6: Final answer
    x = 1,120.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.