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Finding the Fourth Proportional to 1,150.71, 1,725.17 and 784.59

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Solution

The fourth proportional to 1,150.71, 1,725.17 and 784.59 is: 1,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.71 : 1,725.17 = 784.59 : x
  2. Step 2: Convert to fraction form
    1,150.71/1,725.17 = 784.59/x
  3. Step 3: Cross multiply
    1,150.71x = 1,725.17 × 784.59
  4. Step 4: Simplify right side
    1,150.71x = 1,353,547.21
  5. Step 5: Solve for x
    x = 1,353,547.21/1,150.71
  6. Step 6: Final answer
    x = 1,176.27

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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.