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Finding the Fourth Proportional to 1,500.58, 2,251.14 and 526.42

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Solution

The fourth proportional to 1,500.58, 2,251.14 and 526.42 is: 789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.58 : 2,251.14 = 526.42 : x
  2. Step 2: Convert to fraction form
    1,500.58/2,251.14 = 526.42/x
  3. Step 3: Cross multiply
    1,500.58x = 2,251.14 × 526.42
  4. Step 4: Simplify right side
    1,500.58x = 1,185,045.12
  5. Step 5: Solve for x
    x = 1,185,045.12/1,500.58
  6. Step 6: Final answer
    x = 789.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.