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Finding the Fourth Proportional to 1,110.86, 1,663.05 and 802.70

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Solution

The fourth proportional to 1,110.86, 1,663.05 and 802.70 is: 1,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.86 : 1,663.05 = 802.70 : x
  2. Step 2: Convert to fraction form
    1,110.86/1,663.05 = 802.70/x
  3. Step 3: Cross multiply
    1,110.86x = 1,663.05 × 802.70
  4. Step 4: Simplify right side
    1,110.86x = 1,334,930.24
  5. Step 5: Solve for x
    x = 1,334,930.24/1,110.86
  6. Step 6: Final answer
    x = 1,201.71

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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.