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Finding the Fourth Proportional to 715.82, 987.53 and 467.04

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Solution

The fourth proportional to 715.82, 987.53 and 467.04 is: 644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.82 : 987.53 = 467.04 : x
  2. Step 2: Convert to fraction form
    715.82/987.53 = 467.04/x
  3. Step 3: Cross multiply
    715.82x = 987.53 × 467.04
  4. Step 4: Simplify right side
    715.82x = 461,213.68
  5. Step 5: Solve for x
    x = 461,213.68/715.82
  6. Step 6: Final answer
    x = 644.32

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1.5x scale

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.