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Finding the Fourth Proportional to 1,500.35, 2,250.25 and 526.01

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Solution

The fourth proportional to 1,500.35, 2,250.25 and 526.01 is: 788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.35 : 2,250.25 = 526.01 : x
  2. Step 2: Convert to fraction form
    1,500.35/2,250.25 = 526.01/x
  3. Step 3: Cross multiply
    1,500.35x = 2,250.25 × 526.01
  4. Step 4: Simplify right side
    1,500.35x = 1,183,641.44
  5. Step 5: Solve for x
    x = 1,183,641.44/1,500.35
  6. Step 6: Final answer
    x = 788.91

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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.