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Finding the Fourth Proportional to 677.93, 1,016.57 and 288.11

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Solution

The fourth proportional to 677.93, 1,016.57 and 288.11 is: 432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.93 : 1,016.57 = 288.11 : x
  2. Step 2: Convert to fraction form
    677.93/1,016.57 = 288.11/x
  3. Step 3: Cross multiply
    677.93x = 1,016.57 × 288.11
  4. Step 4: Simplify right side
    677.93x = 292,877.46
  5. Step 5: Solve for x
    x = 292,877.46/677.93
  6. Step 6: Final answer
    x = 432.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.