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Finding the Fourth Proportional to 1,490.40, 2,056.44 and 869.40

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Solution

The fourth proportional to 1,490.40, 2,056.44 and 869.40 is: 1,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.40 : 2,056.44 = 869.40 : x
  2. Step 2: Convert to fraction form
    1,490.40/2,056.44 = 869.40/x
  3. Step 3: Cross multiply
    1,490.40x = 2,056.44 × 869.40
  4. Step 4: Simplify right side
    1,490.40x = 1,787,868.94
  5. Step 5: Solve for x
    x = 1,787,868.94/1,490.40
  6. Step 6: Final answer
    x = 1,199.59

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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.