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Finding the Fourth Proportional to 788.81, 1,088.78 and 734.13

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Solution

The fourth proportional to 788.81, 1,088.78 and 734.13 is: 1,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.81 : 1,088.78 = 734.13 : x
  2. Step 2: Convert to fraction form
    788.81/1,088.78 = 734.13/x
  3. Step 3: Cross multiply
    788.81x = 1,088.78 × 734.13
  4. Step 4: Simplify right side
    788.81x = 799,302.39
  5. Step 5: Solve for x
    x = 799,302.39/788.81
  6. Step 6: Final answer
    x = 1,013.31

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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.