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Finding the Fourth Proportional to 830.66, 1,146.28 and 536.22

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Solution

The fourth proportional to 830.66, 1,146.28 and 536.22 is: 739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.66 : 1,146.28 = 536.22 : x
  2. Step 2: Convert to fraction form
    830.66/1,146.28 = 536.22/x
  3. Step 3: Cross multiply
    830.66x = 1,146.28 × 536.22
  4. Step 4: Simplify right side
    830.66x = 614,661.22
  5. Step 5: Solve for x
    x = 614,661.22/830.66
  6. Step 6: Final answer
    x = 739.97

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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.