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Finding the Fourth Proportional to 883, 1,324.14 and 493.57

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Solution

The fourth proportional to 883, 1,324.14 and 493.57 is: 740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    883 : 1,324.14 = 493.57 : x
  2. Step 2: Convert to fraction form
    883/1,324.14 = 493.57/x
  3. Step 3: Cross multiply
    883x = 1,324.14 × 493.57
  4. Step 4: Simplify right side
    883x = 653,555.78
  5. Step 5: Solve for x
    x = 653,555.78/883
  6. Step 6: Final answer
    x = 740.15

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1.5x scale

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.