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Finding the Fourth Proportional to 762.65, 1,141.34 and 632.90

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Solution

The fourth proportional to 762.65, 1,141.34 and 632.90 is: 947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.65 : 1,141.34 = 632.90 : x
  2. Step 2: Convert to fraction form
    762.65/1,141.34 = 632.90/x
  3. Step 3: Cross multiply
    762.65x = 1,141.34 × 632.90
  4. Step 4: Simplify right side
    762.65x = 722,345.21
  5. Step 5: Solve for x
    x = 722,345.21/762.65
  6. Step 6: Final answer
    x = 947.16

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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.