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Finding the Fourth Proportional to 985.87, 1,488.22 and 980.41

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Solution

The fourth proportional to 985.87, 1,488.22 and 980.41 is: 1,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.87 : 1,488.22 = 980.41 : x
  2. Step 2: Convert to fraction form
    985.87/1,488.22 = 980.41/x
  3. Step 3: Cross multiply
    985.87x = 1,488.22 × 980.41
  4. Step 4: Simplify right side
    985.87x = 1,459,065.77
  5. Step 5: Solve for x
    x = 1,459,065.77/985.87
  6. Step 6: Final answer
    x = 1,479.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.