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Finding the Fourth Proportional to 919.84, 1,269.68 and 589.15

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Solution

The fourth proportional to 919.84, 1,269.68 and 589.15 is: 813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.84 : 1,269.68 = 589.15 : x
  2. Step 2: Convert to fraction form
    919.84/1,269.68 = 589.15/x
  3. Step 3: Cross multiply
    919.84x = 1,269.68 × 589.15
  4. Step 4: Simplify right side
    919.84x = 748,031.97
  5. Step 5: Solve for x
    x = 748,031.97/919.84
  6. Step 6: Final answer
    x = 813.22

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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.