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Finding the Fourth Proportional to 1,178.16, 1,767.08 and 494

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Solution

The fourth proportional to 1,178.16, 1,767.08 and 494 is: 740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.16 : 1,767.08 = 494 : x
  2. Step 2: Convert to fraction form
    1,178.16/1,767.08 = 494/x
  3. Step 3: Cross multiply
    1,178.16x = 1,767.08 × 494
  4. Step 4: Simplify right side
    1,178.16x = 872,937.52
  5. Step 5: Solve for x
    x = 872,937.52/1,178.16
  6. Step 6: Final answer
    x = 740.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.