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Finding the Fourth Proportional to 830.28, 1,146.10 and 652.78

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Solution

The fourth proportional to 830.28, 1,146.10 and 652.78 is: 901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.28 : 1,146.10 = 652.78 : x
  2. Step 2: Convert to fraction form
    830.28/1,146.10 = 652.78/x
  3. Step 3: Cross multiply
    830.28x = 1,146.10 × 652.78
  4. Step 4: Simplify right side
    830.28x = 748,145.43
  5. Step 5: Solve for x
    x = 748,145.43/830.28
  6. Step 6: Final answer
    x = 901.08

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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.