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Finding the Fourth Proportional to 1,067.16, 1,472.54 and 653.08

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Solution

The fourth proportional to 1,067.16, 1,472.54 and 653.08 is: 901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.16 : 1,472.54 = 653.08 : x
  2. Step 2: Convert to fraction form
    1,067.16/1,472.54 = 653.08/x
  3. Step 3: Cross multiply
    1,067.16x = 1,472.54 × 653.08
  4. Step 4: Simplify right side
    1,067.16x = 961,686.42
  5. Step 5: Solve for x
    x = 961,686.42/1,067.16
  6. Step 6: Final answer
    x = 901.16

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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.