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Finding the Fourth Proportional to 1,418.16, 1,957.14 and 788.76

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Solution

The fourth proportional to 1,418.16, 1,957.14 and 788.76 is: 1,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.16 : 1,957.14 = 788.76 : x
  2. Step 2: Convert to fraction form
    1,418.16/1,957.14 = 788.76/x
  3. Step 3: Cross multiply
    1,418.16x = 1,957.14 × 788.76
  4. Step 4: Simplify right side
    1,418.16x = 1,543,713.75
  5. Step 5: Solve for x
    x = 1,543,713.75/1,418.16
  6. Step 6: Final answer
    x = 1,088.53

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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.