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Finding the Fourth Proportional to 830.95, 1,146.02 and 714.04

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Solution

The fourth proportional to 830.95, 1,146.02 and 714.04 is: 984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.95 : 1,146.02 = 714.04 : x
  2. Step 2: Convert to fraction form
    830.95/1,146.02 = 714.04/x
  3. Step 3: Cross multiply
    830.95x = 1,146.02 × 714.04
  4. Step 4: Simplify right side
    830.95x = 818,297.69
  5. Step 5: Solve for x
    x = 818,297.69/830.95
  6. Step 6: Final answer
    x = 984.78

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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.