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Finding the Fourth Proportional to 765.76, 1,146.48 and 650.08

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Solution

The fourth proportional to 765.76, 1,146.48 and 650.08 is: 973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.76 : 1,146.48 = 650.08 : x
  2. Step 2: Convert to fraction form
    765.76/1,146.48 = 650.08/x
  3. Step 3: Cross multiply
    765.76x = 1,146.48 × 650.08
  4. Step 4: Simplify right side
    765.76x = 745,303.72
  5. Step 5: Solve for x
    x = 745,303.72/765.76
  6. Step 6: Final answer
    x = 973.29

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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.