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Finding the Fourth Proportional to 698.04, 1,053.62 and 698.04

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Solution

The fourth proportional to 698.04, 1,053.62 and 698.04 is: 1,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.04 : 1,053.62 = 698.04 : x
  2. Step 2: Convert to fraction form
    698.04/1,053.62 = 698.04/x
  3. Step 3: Cross multiply
    698.04x = 1,053.62 × 698.04
  4. Step 4: Simplify right side
    698.04x = 735,468.90
  5. Step 5: Solve for x
    x = 735,468.90/698.04
  6. Step 6: Final answer
    x = 1,053.62

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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.