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Finding the Fourth Proportional to 1,061.66, 1,598.04 and 961.04

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Solution

The fourth proportional to 1,061.66, 1,598.04 and 961.04 is: 1,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.66 : 1,598.04 = 961.04 : x
  2. Step 2: Convert to fraction form
    1,061.66/1,598.04 = 961.04/x
  3. Step 3: Cross multiply
    1,061.66x = 1,598.04 × 961.04
  4. Step 4: Simplify right side
    1,061.66x = 1,535,780.36
  5. Step 5: Solve for x
    x = 1,535,780.36/1,061.66
  6. Step 6: Final answer
    x = 1,446.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.