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Finding the Fourth Proportional to 1,151.19, 1,725.23 and 841.59

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Solution

The fourth proportional to 1,151.19, 1,725.23 and 841.59 is: 1,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.19 : 1,725.23 = 841.59 : x
  2. Step 2: Convert to fraction form
    1,151.19/1,725.23 = 841.59/x
  3. Step 3: Cross multiply
    1,151.19x = 1,725.23 × 841.59
  4. Step 4: Simplify right side
    1,151.19x = 1,451,938.42
  5. Step 5: Solve for x
    x = 1,451,938.42/1,151.19
  6. Step 6: Final answer
    x = 1,261.25

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