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Finding the Fourth Proportional to 1,241.64, 1,714.14 and 869.76

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Solution

The fourth proportional to 1,241.64, 1,714.14 and 869.76 is: 1,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.64 : 1,714.14 = 869.76 : x
  2. Step 2: Convert to fraction form
    1,241.64/1,714.14 = 869.76/x
  3. Step 3: Cross multiply
    1,241.64x = 1,714.14 × 869.76
  4. Step 4: Simplify right side
    1,241.64x = 1,490,890.41
  5. Step 5: Solve for x
    x = 1,490,890.41/1,241.64
  6. Step 6: Final answer
    x = 1,200.74

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1.5x scale

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.