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Finding the Fourth Proportional to 781.16, 1,170.84 and 370.40

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Solution

The fourth proportional to 781.16, 1,170.84 and 370.40 is: 555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.16 : 1,170.84 = 370.40 : x
  2. Step 2: Convert to fraction form
    781.16/1,170.84 = 370.40/x
  3. Step 3: Cross multiply
    781.16x = 1,170.84 × 370.40
  4. Step 4: Simplify right side
    781.16x = 433,679.14
  5. Step 5: Solve for x
    x = 433,679.14/781.16
  6. Step 6: Final answer
    x = 555.17

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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.