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Finding the Fourth Proportional to 1,505.17, 2,257.86 and 465.27

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Solution

The fourth proportional to 1,505.17, 2,257.86 and 465.27 is: 697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.17 : 2,257.86 = 465.27 : x
  2. Step 2: Convert to fraction form
    1,505.17/2,257.86 = 465.27/x
  3. Step 3: Cross multiply
    1,505.17x = 2,257.86 × 465.27
  4. Step 4: Simplify right side
    1,505.17x = 1,050,514.52
  5. Step 5: Solve for x
    x = 1,050,514.52/1,505.17
  6. Step 6: Final answer
    x = 697.94

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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.