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Finding the Fourth Proportional to 1,115.58, 1,672.46 and 652.22

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Solution

The fourth proportional to 1,115.58, 1,672.46 and 652.22 is: 977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.58 : 1,672.46 = 652.22 : x
  2. Step 2: Convert to fraction form
    1,115.58/1,672.46 = 652.22/x
  3. Step 3: Cross multiply
    1,115.58x = 1,672.46 × 652.22
  4. Step 4: Simplify right side
    1,115.58x = 1,090,811.86
  5. Step 5: Solve for x
    x = 1,090,811.86/1,115.58
  6. Step 6: Final answer
    x = 977.80

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Why These Related Problems?

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