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Finding the Fourth Proportional to 1,105.84, 1,657.80 and 529.12

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Solution

The fourth proportional to 1,105.84, 1,657.80 and 529.12 is: 793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.84 : 1,657.80 = 529.12 : x
  2. Step 2: Convert to fraction form
    1,105.84/1,657.80 = 529.12/x
  3. Step 3: Cross multiply
    1,105.84x = 1,657.80 × 529.12
  4. Step 4: Simplify right side
    1,105.84x = 877,175.14
  5. Step 5: Solve for x
    x = 877,175.14/1,105.84
  6. Step 6: Final answer
    x = 793.22

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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.