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Finding the Fourth Proportional to 883.68, 1,326.20 and 473.16

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Solution

The fourth proportional to 883.68, 1,326.20 and 473.16 is: 710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.68 : 1,326.20 = 473.16 : x
  2. Step 2: Convert to fraction form
    883.68/1,326.20 = 473.16/x
  3. Step 3: Cross multiply
    883.68x = 1,326.20 × 473.16
  4. Step 4: Simplify right side
    883.68x = 627,502.43
  5. Step 5: Solve for x
    x = 627,502.43/883.68
  6. Step 6: Final answer
    x = 710.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.