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Finding the Fourth Proportional to 989.70, 1,484.98 and 578.84

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Solution

The fourth proportional to 989.70, 1,484.98 and 578.84 is: 868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.70 : 1,484.98 = 578.84 : x
  2. Step 2: Convert to fraction form
    989.70/1,484.98 = 578.84/x
  3. Step 3: Cross multiply
    989.70x = 1,484.98 × 578.84
  4. Step 4: Simplify right side
    989.70x = 859,565.82
  5. Step 5: Solve for x
    x = 859,565.82/989.70
  6. Step 6: Final answer
    x = 868.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.