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Finding the Fourth Proportional to 1,508.63, 2,262.85 and 468.63

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Solution

The fourth proportional to 1,508.63, 2,262.85 and 468.63 is: 702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.63 : 2,262.85 = 468.63 : x
  2. Step 2: Convert to fraction form
    1,508.63/2,262.85 = 468.63/x
  3. Step 3: Cross multiply
    1,508.63x = 2,262.85 × 468.63
  4. Step 4: Simplify right side
    1,508.63x = 1,060,438.22
  5. Step 5: Solve for x
    x = 1,060,438.22/1,508.63
  6. Step 6: Final answer
    x = 702.92

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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.