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Finding the Fourth Proportional to 1,110.86, 1,533.62 and 738.35

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Solution

The fourth proportional to 1,110.86, 1,533.62 and 738.35 is: 1,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.86 : 1,533.62 = 738.35 : x
  2. Step 2: Convert to fraction form
    1,110.86/1,533.62 = 738.35/x
  3. Step 3: Cross multiply
    1,110.86x = 1,533.62 × 738.35
  4. Step 4: Simplify right side
    1,110.86x = 1,132,348.33
  5. Step 5: Solve for x
    x = 1,132,348.33/1,110.86
  6. Step 6: Final answer
    x = 1,019.34

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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.