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Finding the Fourth Proportional to 1,105.03, 1,657.55 and 527.77

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Solution

The fourth proportional to 1,105.03, 1,657.55 and 527.77 is: 791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.03 : 1,657.55 = 527.77 : x
  2. Step 2: Convert to fraction form
    1,105.03/1,657.55 = 527.77/x
  3. Step 3: Cross multiply
    1,105.03x = 1,657.55 × 527.77
  4. Step 4: Simplify right side
    1,105.03x = 874,805.16
  5. Step 5: Solve for x
    x = 874,805.16/1,105.03
  6. Step 6: Final answer
    x = 791.66

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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.