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Finding the Fourth Proportional to 801.63, 1,106.06 and 536.45

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Solution

The fourth proportional to 801.63, 1,106.06 and 536.45 is: 740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.63 : 1,106.06 = 536.45 : x
  2. Step 2: Convert to fraction form
    801.63/1,106.06 = 536.45/x
  3. Step 3: Cross multiply
    801.63x = 1,106.06 × 536.45
  4. Step 4: Simplify right side
    801.63x = 593,337.67
  5. Step 5: Solve for x
    x = 593,337.67/801.63
  6. Step 6: Final answer
    x = 740.16

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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.