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Finding the Fourth Proportional to 1,146.92, 1,582.80 and 698.66

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Solution

The fourth proportional to 1,146.92, 1,582.80 and 698.66 is: 964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.92 : 1,582.80 = 698.66 : x
  2. Step 2: Convert to fraction form
    1,146.92/1,582.80 = 698.66/x
  3. Step 3: Cross multiply
    1,146.92x = 1,582.80 × 698.66
  4. Step 4: Simplify right side
    1,146.92x = 1,105,831.13
  5. Step 5: Solve for x
    x = 1,105,831.13/1,146.92
  6. Step 6: Final answer
    x = 964.18

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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.