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Finding the Fourth Proportional to 838.17, 1,155.33 and 660.84

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Solution

The fourth proportional to 838.17, 1,155.33 and 660.84 is: 910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.17 : 1,155.33 = 660.84 : x
  2. Step 2: Convert to fraction form
    838.17/1,155.33 = 660.84/x
  3. Step 3: Cross multiply
    838.17x = 1,155.33 × 660.84
  4. Step 4: Simplify right side
    838.17x = 763,482.50
  5. Step 5: Solve for x
    x = 763,482.50/838.17
  6. Step 6: Final answer
    x = 910.90

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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.