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Finding the Fourth Proportional to 1,290.17, 1,780.46 and 700.74

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Solution

The fourth proportional to 1,290.17, 1,780.46 and 700.74 is: 967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.17 : 1,780.46 = 700.74 : x
  2. Step 2: Convert to fraction form
    1,290.17/1,780.46 = 700.74/x
  3. Step 3: Cross multiply
    1,290.17x = 1,780.46 × 700.74
  4. Step 4: Simplify right side
    1,290.17x = 1,247,642.61
  5. Step 5: Solve for x
    x = 1,247,642.61/1,290.17
  6. Step 6: Final answer
    x = 967.04

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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.