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Finding the Fourth Proportional to 1,532.05, 2,297.71 and 709.52

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Solution

The fourth proportional to 1,532.05, 2,297.71 and 709.52 is: 1,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.05 : 2,297.71 = 709.52 : x
  2. Step 2: Convert to fraction form
    1,532.05/2,297.71 = 709.52/x
  3. Step 3: Cross multiply
    1,532.05x = 2,297.71 × 709.52
  4. Step 4: Simplify right side
    1,532.05x = 1,630,271.20
  5. Step 5: Solve for x
    x = 1,630,271.20/1,532.05
  6. Step 6: Final answer
    x = 1,064.11

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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.