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Finding the Fourth Proportional to 1,499.51, 2,248.97 and 525.69

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Solution

The fourth proportional to 1,499.51, 2,248.97 and 525.69 is: 788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.51 : 2,248.97 = 525.69 : x
  2. Step 2: Convert to fraction form
    1,499.51/2,248.97 = 525.69/x
  3. Step 3: Cross multiply
    1,499.51x = 2,248.97 × 525.69
  4. Step 4: Simplify right side
    1,499.51x = 1,182,258.41
  5. Step 5: Solve for x
    x = 1,182,258.41/1,499.51
  6. Step 6: Final answer
    x = 788.43

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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.