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Finding the Fourth Proportional to 1,094.17, 1,648.55 and 990.18

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Solution

The fourth proportional to 1,094.17, 1,648.55 and 990.18 is: 1,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.17 : 1,648.55 = 990.18 : x
  2. Step 2: Convert to fraction form
    1,094.17/1,648.55 = 990.18/x
  3. Step 3: Cross multiply
    1,094.17x = 1,648.55 × 990.18
  4. Step 4: Simplify right side
    1,094.17x = 1,632,363.71
  5. Step 5: Solve for x
    x = 1,632,363.71/1,094.17
  6. Step 6: Final answer
    x = 1,491.88

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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.