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Finding the Fourth Proportional to 761.67, 1,137.78 and 652.32

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Solution

The fourth proportional to 761.67, 1,137.78 and 652.32 is: 974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.67 : 1,137.78 = 652.32 : x
  2. Step 2: Convert to fraction form
    761.67/1,137.78 = 652.32/x
  3. Step 3: Cross multiply
    761.67x = 1,137.78 × 652.32
  4. Step 4: Simplify right side
    761.67x = 742,196.65
  5. Step 5: Solve for x
    x = 742,196.65/761.67
  6. Step 6: Final answer
    x = 974.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.