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Finding the Fourth Proportional to 1,088.86, 1,630.55 and 845.55

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Solution

The fourth proportional to 1,088.86, 1,630.55 and 845.55 is: 1,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.86 : 1,630.55 = 845.55 : x
  2. Step 2: Convert to fraction form
    1,088.86/1,630.55 = 845.55/x
  3. Step 3: Cross multiply
    1,088.86x = 1,630.55 × 845.55
  4. Step 4: Simplify right side
    1,088.86x = 1,378,715.63
  5. Step 5: Solve for x
    x = 1,378,715.63/1,088.86
  6. Step 6: Final answer
    x = 1,266.20

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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.