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Finding the Fourth Proportional to 1,150.21, 1,587.22 and 652.83

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Solution

The fourth proportional to 1,150.21, 1,587.22 and 652.83 is: 900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.21 : 1,587.22 = 652.83 : x
  2. Step 2: Convert to fraction form
    1,150.21/1,587.22 = 652.83/x
  3. Step 3: Cross multiply
    1,150.21x = 1,587.22 × 652.83
  4. Step 4: Simplify right side
    1,150.21x = 1,036,184.83
  5. Step 5: Solve for x
    x = 1,036,184.83/1,150.21
  6. Step 6: Final answer
    x = 900.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.