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Finding the Fourth Proportional to 1,061.29, 1,464.64 and 595.54

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Solution

The fourth proportional to 1,061.29, 1,464.64 and 595.54 is: 821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.29 : 1,464.64 = 595.54 : x
  2. Step 2: Convert to fraction form
    1,061.29/1,464.64 = 595.54/x
  3. Step 3: Cross multiply
    1,061.29x = 1,464.64 × 595.54
  4. Step 4: Simplify right side
    1,061.29x = 872,244.38
  5. Step 5: Solve for x
    x = 872,244.38/1,061.29
  6. Step 6: Final answer
    x = 821.88

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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.