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Finding the Fourth Proportional to 1,597.17, 2,394.84 and 622.14

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Solution

The fourth proportional to 1,597.17, 2,394.84 and 622.14 is: 932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.17 : 2,394.84 = 622.14 : x
  2. Step 2: Convert to fraction form
    1,597.17/2,394.84 = 622.14/x
  3. Step 3: Cross multiply
    1,597.17x = 2,394.84 × 622.14
  4. Step 4: Simplify right side
    1,597.17x = 1,489,925.76
  5. Step 5: Solve for x
    x = 1,489,925.76/1,597.17
  6. Step 6: Final answer
    x = 932.85

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1.5x scale

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.