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Finding the Fourth Proportional to 798.46, 1,101.63 and 536.74

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Solution

The fourth proportional to 798.46, 1,101.63 and 536.74 is: 740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.46 : 1,101.63 = 536.74 : x
  2. Step 2: Convert to fraction form
    798.46/1,101.63 = 536.74/x
  3. Step 3: Cross multiply
    798.46x = 1,101.63 × 536.74
  4. Step 4: Simplify right side
    798.46x = 591,288.89
  5. Step 5: Solve for x
    x = 591,288.89/798.46
  6. Step 6: Final answer
    x = 740.54

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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.