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Finding the Fourth Proportional to 1,088.53, 1,633.25 and 698.74

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Solution

The fourth proportional to 1,088.53, 1,633.25 and 698.74 is: 1,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.53 : 1,633.25 = 698.74 : x
  2. Step 2: Convert to fraction form
    1,088.53/1,633.25 = 698.74/x
  3. Step 3: Cross multiply
    1,088.53x = 1,633.25 × 698.74
  4. Step 4: Simplify right side
    1,088.53x = 1,141,214.77
  5. Step 5: Solve for x
    x = 1,141,214.77/1,088.53
  6. Step 6: Final answer
    x = 1,048.40

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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.