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Finding the Fourth Proportional to 1,532.63, 2,114.85 and 860.48

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Solution

The fourth proportional to 1,532.63, 2,114.85 and 860.48 is: 1,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.63 : 2,114.85 = 860.48 : x
  2. Step 2: Convert to fraction form
    1,532.63/2,114.85 = 860.48/x
  3. Step 3: Cross multiply
    1,532.63x = 2,114.85 × 860.48
  4. Step 4: Simplify right side
    1,532.63x = 1,819,781.87
  5. Step 5: Solve for x
    x = 1,819,781.87/1,532.63
  6. Step 6: Final answer
    x = 1,187.36

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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.