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Finding the Fourth Proportional to 883.98, 1,220.40 and 589.68

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Solution

The fourth proportional to 883.98, 1,220.40 and 589.68 is: 814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.98 : 1,220.40 = 589.68 : x
  2. Step 2: Convert to fraction form
    883.98/1,220.40 = 589.68/x
  3. Step 3: Cross multiply
    883.98x = 1,220.40 × 589.68
  4. Step 4: Simplify right side
    883.98x = 719,645.47
  5. Step 5: Solve for x
    x = 719,645.47/883.98
  6. Step 6: Final answer
    x = 814.10

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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.