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Finding the Fourth Proportional to 1,440.86, 1,987.65 and 851.18

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Solution

The fourth proportional to 1,440.86, 1,987.65 and 851.18 is: 1,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.86 : 1,987.65 = 851.18 : x
  2. Step 2: Convert to fraction form
    1,440.86/1,987.65 = 851.18/x
  3. Step 3: Cross multiply
    1,440.86x = 1,987.65 × 851.18
  4. Step 4: Simplify right side
    1,440.86x = 1,691,837.99
  5. Step 5: Solve for x
    x = 1,691,837.99/1,440.86
  6. Step 6: Final answer
    x = 1,174.19

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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.