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Finding the Fourth Proportional to 1,146.10, 1,582.25 and 864.11

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Solution

The fourth proportional to 1,146.10, 1,582.25 and 864.11 is: 1,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.10 : 1,582.25 = 864.11 : x
  2. Step 2: Convert to fraction form
    1,146.10/1,582.25 = 864.11/x
  3. Step 3: Cross multiply
    1,146.10x = 1,582.25 × 864.11
  4. Step 4: Simplify right side
    1,146.10x = 1,367,231.75
  5. Step 5: Solve for x
    x = 1,367,231.75/1,146.10
  6. Step 6: Final answer
    x = 1,192.94

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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.