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Finding the Fourth Proportional to 797.65, 1,101.18 and 536.11

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Solution

The fourth proportional to 797.65, 1,101.18 and 536.11 is: 740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.65 : 1,101.18 = 536.11 : x
  2. Step 2: Convert to fraction form
    797.65/1,101.18 = 536.11/x
  3. Step 3: Cross multiply
    797.65x = 1,101.18 × 536.11
  4. Step 4: Simplify right side
    797.65x = 590,353.61
  5. Step 5: Solve for x
    x = 590,353.61/797.65
  6. Step 6: Final answer
    x = 740.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.