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Finding the Fourth Proportional to 1,131.30, 1,561.50 and 659.58

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Solution

The fourth proportional to 1,131.30, 1,561.50 and 659.58 is: 910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.30 : 1,561.50 = 659.58 : x
  2. Step 2: Convert to fraction form
    1,131.30/1,561.50 = 659.58/x
  3. Step 3: Cross multiply
    1,131.30x = 1,561.50 × 659.58
  4. Step 4: Simplify right side
    1,131.30x = 1,029,934.17
  5. Step 5: Solve for x
    x = 1,029,934.17/1,131.30
  6. Step 6: Final answer
    x = 910.40

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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.