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Finding the Fourth Proportional to 716.25, 987.77 and 467.48

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Solution

The fourth proportional to 716.25, 987.77 and 467.48 is: 644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.25 : 987.77 = 467.48 : x
  2. Step 2: Convert to fraction form
    716.25/987.77 = 467.48/x
  3. Step 3: Cross multiply
    716.25x = 987.77 × 467.48
  4. Step 4: Simplify right side
    716.25x = 461,762.72
  5. Step 5: Solve for x
    x = 461,762.72/716.25
  6. Step 6: Final answer
    x = 644.69

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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.