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Finding the Fourth Proportional to 1,508.55, 2,262.72 and 412.92

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Solution

The fourth proportional to 1,508.55, 2,262.72 and 412.92 is: 619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.55 : 2,262.72 = 412.92 : x
  2. Step 2: Convert to fraction form
    1,508.55/2,262.72 = 412.92/x
  3. Step 3: Cross multiply
    1,508.55x = 2,262.72 × 412.92
  4. Step 4: Simplify right side
    1,508.55x = 934,322.34
  5. Step 5: Solve for x
    x = 934,322.34/1,508.55
  6. Step 6: Final answer
    x = 619.35

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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.