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Finding the Fourth Proportional to 1,102.24, 1,521.20 and 654.38

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Solution

The fourth proportional to 1,102.24, 1,521.20 and 654.38 is: 903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.24 : 1,521.20 = 654.38 : x
  2. Step 2: Convert to fraction form
    1,102.24/1,521.20 = 654.38/x
  3. Step 3: Cross multiply
    1,102.24x = 1,521.20 × 654.38
  4. Step 4: Simplify right side
    1,102.24x = 995,442.86
  5. Step 5: Solve for x
    x = 995,442.86/1,102.24
  6. Step 6: Final answer
    x = 903.11

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1.5x scale

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.