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Finding the Fourth Proportional to 1,088.24, 1,631.56 and 698.68

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Solution

The fourth proportional to 1,088.24, 1,631.56 and 698.68 is: 1,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.24 : 1,631.56 = 698.68 : x
  2. Step 2: Convert to fraction form
    1,088.24/1,631.56 = 698.68/x
  3. Step 3: Cross multiply
    1,088.24x = 1,631.56 × 698.68
  4. Step 4: Simplify right side
    1,088.24x = 1,139,938.34
  5. Step 5: Solve for x
    x = 1,139,938.34/1,088.24
  6. Step 6: Final answer
    x = 1,047.51

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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.