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Finding the Fourth Proportional to 1,499.64, 2,248.68 and 677.52

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Solution

The fourth proportional to 1,499.64, 2,248.68 and 677.52 is: 1,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.64 : 2,248.68 = 677.52 : x
  2. Step 2: Convert to fraction form
    1,499.64/2,248.68 = 677.52/x
  3. Step 3: Cross multiply
    1,499.64x = 2,248.68 × 677.52
  4. Step 4: Simplify right side
    1,499.64x = 1,523,525.67
  5. Step 5: Solve for x
    x = 1,523,525.67/1,499.64
  6. Step 6: Final answer
    x = 1,015.93

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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.