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Finding the Fourth Proportional to 1,214.68, 1,822.02 and 970.88

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Solution

The fourth proportional to 1,214.68, 1,822.02 and 970.88 is: 1,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.68 : 1,822.02 = 970.88 : x
  2. Step 2: Convert to fraction form
    1,214.68/1,822.02 = 970.88/x
  3. Step 3: Cross multiply
    1,214.68x = 1,822.02 × 970.88
  4. Step 4: Simplify right side
    1,214.68x = 1,768,962.78
  5. Step 5: Solve for x
    x = 1,768,962.78/1,214.68
  6. Step 6: Final answer
    x = 1,456.32

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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.