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Finding the Fourth Proportional to 1,178.04, 1,767.48 and 398.13

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Solution

The fourth proportional to 1,178.04, 1,767.48 and 398.13 is: 597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.04 : 1,767.48 = 398.13 : x
  2. Step 2: Convert to fraction form
    1,178.04/1,767.48 = 398.13/x
  3. Step 3: Cross multiply
    1,178.04x = 1,767.48 × 398.13
  4. Step 4: Simplify right side
    1,178.04x = 703,686.81
  5. Step 5: Solve for x
    x = 703,686.81/1,178.04
  6. Step 6: Final answer
    x = 597.34

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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.