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Finding the Fourth Proportional to 1,088.08, 1,630.29 and 778.36

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Solution

The fourth proportional to 1,088.08, 1,630.29 and 778.36 is: 1,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.08 : 1,630.29 = 778.36 : x
  2. Step 2: Convert to fraction form
    1,088.08/1,630.29 = 778.36/x
  3. Step 3: Cross multiply
    1,088.08x = 1,630.29 × 778.36
  4. Step 4: Simplify right side
    1,088.08x = 1,268,952.52
  5. Step 5: Solve for x
    x = 1,268,952.52/1,088.08
  6. Step 6: Final answer
    x = 1,166.23

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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.