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Finding the Fourth Proportional to 1,063.80, 1,587.93 and 990.84

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Solution

The fourth proportional to 1,063.80, 1,587.93 and 990.84 is: 1,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.80 : 1,587.93 = 990.84 : x
  2. Step 2: Convert to fraction form
    1,063.80/1,587.93 = 990.84/x
  3. Step 3: Cross multiply
    1,063.80x = 1,587.93 × 990.84
  4. Step 4: Simplify right side
    1,063.80x = 1,573,384.56
  5. Step 5: Solve for x
    x = 1,573,384.56/1,063.80
  6. Step 6: Final answer
    x = 1,479.02

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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.