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Finding the Fourth Proportional to 1,131.60, 1,561.51 and 689.42

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Solution

The fourth proportional to 1,131.60, 1,561.51 and 689.42 is: 951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.60 : 1,561.51 = 689.42 : x
  2. Step 2: Convert to fraction form
    1,131.60/1,561.51 = 689.42/x
  3. Step 3: Cross multiply
    1,131.60x = 1,561.51 × 689.42
  4. Step 4: Simplify right side
    1,131.60x = 1,076,538.40
  5. Step 5: Solve for x
    x = 1,076,538.40/1,131.60
  6. Step 6: Final answer
    x = 951.34

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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.