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Finding the Fourth Proportional to 1,154.94, 1,732.80 and 506.10

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Solution

The fourth proportional to 1,154.94, 1,732.80 and 506.10 is: 759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.94 : 1,732.80 = 506.10 : x
  2. Step 2: Convert to fraction form
    1,154.94/1,732.80 = 506.10/x
  3. Step 3: Cross multiply
    1,154.94x = 1,732.80 × 506.10
  4. Step 4: Simplify right side
    1,154.94x = 876,970.08
  5. Step 5: Solve for x
    x = 876,970.08/1,154.94
  6. Step 6: Final answer
    x = 759.32

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Why These Related Problems?

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