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Finding the Fourth Proportional to 698.84, 1,046.10 and 536.12

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Solution

The fourth proportional to 698.84, 1,046.10 and 536.12 is: 802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.84 : 1,046.10 = 536.12 : x
  2. Step 2: Convert to fraction form
    698.84/1,046.10 = 536.12/x
  3. Step 3: Cross multiply
    698.84x = 1,046.10 × 536.12
  4. Step 4: Simplify right side
    698.84x = 560,835.13
  5. Step 5: Solve for x
    x = 560,835.13/698.84
  6. Step 6: Final answer
    x = 802.52

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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.