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Finding the Fourth Proportional to 761.66, 1,051.12 and 467.10

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Solution

The fourth proportional to 761.66, 1,051.12 and 467.10 is: 644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.66 : 1,051.12 = 467.10 : x
  2. Step 2: Convert to fraction form
    761.66/1,051.12 = 467.10/x
  3. Step 3: Cross multiply
    761.66x = 1,051.12 × 467.10
  4. Step 4: Simplify right side
    761.66x = 490,978.15
  5. Step 5: Solve for x
    x = 490,978.15/761.66
  6. Step 6: Final answer
    x = 644.62

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Why These Related Problems?

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