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Finding the Fourth Proportional to 1,491.54, 2,235.66 and 566.52

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Solution

The fourth proportional to 1,491.54, 2,235.66 and 566.52 is: 849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.54 : 2,235.66 = 566.52 : x
  2. Step 2: Convert to fraction form
    1,491.54/2,235.66 = 566.52/x
  3. Step 3: Cross multiply
    1,491.54x = 2,235.66 × 566.52
  4. Step 4: Simplify right side
    1,491.54x = 1,266,546.10
  5. Step 5: Solve for x
    x = 1,266,546.10/1,491.54
  6. Step 6: Final answer
    x = 849.15

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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.