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Finding the Fourth Proportional to 762.34, 1,051.72 and 467.10

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Solution

The fourth proportional to 762.34, 1,051.72 and 467.10 is: 644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.34 : 1,051.72 = 467.10 : x
  2. Step 2: Convert to fraction form
    762.34/1,051.72 = 467.10/x
  3. Step 3: Cross multiply
    762.34x = 1,051.72 × 467.10
  4. Step 4: Simplify right side
    762.34x = 491,258.41
  5. Step 5: Solve for x
    x = 491,258.41/762.34
  6. Step 6: Final answer
    x = 644.41

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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.