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Finding the Fourth Proportional to 838.17, 1,156.29 and 589.65

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Solution

The fourth proportional to 838.17, 1,156.29 and 589.65 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.17 : 1,156.29 = 589.65 : x
  2. Step 2: Convert to fraction form
    838.17/1,156.29 = 589.65/x
  3. Step 3: Cross multiply
    838.17x = 1,156.29 × 589.65
  4. Step 4: Simplify right side
    838.17x = 681,806.40
  5. Step 5: Solve for x
    x = 681,806.40/838.17
  6. Step 6: Final answer
    x = 813.45

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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.