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Finding the Fourth Proportional to 762.42, 1,052.16 and 467.86

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Solution

The fourth proportional to 762.42, 1,052.16 and 467.86 is: 645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.42 : 1,052.16 = 467.86 : x
  2. Step 2: Convert to fraction form
    762.42/1,052.16 = 467.86/x
  3. Step 3: Cross multiply
    762.42x = 1,052.16 × 467.86
  4. Step 4: Simplify right side
    762.42x = 492,263.58
  5. Step 5: Solve for x
    x = 492,263.58/762.42
  6. Step 6: Final answer
    x = 645.66

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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.