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Finding the Fourth Proportional to 1,223.84, 1,689.12 and 700.04

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Solution

The fourth proportional to 1,223.84, 1,689.12 and 700.04 is: 966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.84 : 1,689.12 = 700.04 : x
  2. Step 2: Convert to fraction form
    1,223.84/1,689.12 = 700.04/x
  3. Step 3: Cross multiply
    1,223.84x = 1,689.12 × 700.04
  4. Step 4: Simplify right side
    1,223.84x = 1,182,451.56
  5. Step 5: Solve for x
    x = 1,182,451.56/1,223.84
  6. Step 6: Final answer
    x = 966.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.