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Finding the Fourth Proportional to 987.77, 1,473.56 and 960.95

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Solution

The fourth proportional to 987.77, 1,473.56 and 960.95 is: 1,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.77 : 1,473.56 = 960.95 : x
  2. Step 2: Convert to fraction form
    987.77/1,473.56 = 960.95/x
  3. Step 3: Cross multiply
    987.77x = 1,473.56 × 960.95
  4. Step 4: Simplify right side
    987.77x = 1,416,017.48
  5. Step 5: Solve for x
    x = 1,416,017.48/987.77
  6. Step 6: Final answer
    x = 1,433.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.