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Finding the Fourth Proportional to 883.71, 1,220.76 and 818.10

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Solution

The fourth proportional to 883.71, 1,220.76 and 818.10 is: 1,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.71 : 1,220.76 = 818.10 : x
  2. Step 2: Convert to fraction form
    883.71/1,220.76 = 818.10/x
  3. Step 3: Cross multiply
    883.71x = 1,220.76 × 818.10
  4. Step 4: Simplify right side
    883.71x = 998,703.76
  5. Step 5: Solve for x
    x = 998,703.76/883.71
  6. Step 6: Final answer
    x = 1,130.13

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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.