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Finding the Fourth Proportional to 1,532.49, 2,114.85 and 833.87

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Solution

The fourth proportional to 1,532.49, 2,114.85 and 833.87 is: 1,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.49 : 2,114.85 = 833.87 : x
  2. Step 2: Convert to fraction form
    1,532.49/2,114.85 = 833.87/x
  3. Step 3: Cross multiply
    1,532.49x = 2,114.85 × 833.87
  4. Step 4: Simplify right side
    1,532.49x = 1,763,499.40
  5. Step 5: Solve for x
    x = 1,763,499.40/1,532.49
  6. Step 6: Final answer
    x = 1,150.74

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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.