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Finding the Fourth Proportional to 830.97, 1,146.29 and 536.13

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Solution

The fourth proportional to 830.97, 1,146.29 and 536.13 is: 739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.97 : 1,146.29 = 536.13 : x
  2. Step 2: Convert to fraction form
    830.97/1,146.29 = 536.13/x
  3. Step 3: Cross multiply
    830.97x = 1,146.29 × 536.13
  4. Step 4: Simplify right side
    830.97x = 614,557.78
  5. Step 5: Solve for x
    x = 614,557.78/830.97
  6. Step 6: Final answer
    x = 739.57

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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.