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Finding the Fourth Proportional to 1,500.32, 2,249.64 and 526.16

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Solution

The fourth proportional to 1,500.32, 2,249.64 and 526.16 is: 788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.32 : 2,249.64 = 526.16 : x
  2. Step 2: Convert to fraction form
    1,500.32/2,249.64 = 526.16/x
  3. Step 3: Cross multiply
    1,500.32x = 2,249.64 × 526.16
  4. Step 4: Simplify right side
    1,500.32x = 1,183,670.58
  5. Step 5: Solve for x
    x = 1,183,670.58/1,500.32
  6. Step 6: Final answer
    x = 788.95

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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.