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Finding the Fourth Proportional to 1,513.12, 2,269.68 and 525.92

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Solution

The fourth proportional to 1,513.12, 2,269.68 and 525.92 is: 788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.12 : 2,269.68 = 525.92 : x
  2. Step 2: Convert to fraction form
    1,513.12/2,269.68 = 525.92/x
  3. Step 3: Cross multiply
    1,513.12x = 2,269.68 × 525.92
  4. Step 4: Simplify right side
    1,513.12x = 1,193,670.11
  5. Step 5: Solve for x
    x = 1,193,670.11/1,513.12
  6. Step 6: Final answer
    x = 788.88

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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.