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Finding the Fourth Proportional to 788.54, 1,180.38 and 705.92

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Solution

The fourth proportional to 788.54, 1,180.38 and 705.92 is: 1,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.54 : 1,180.38 = 705.92 : x
  2. Step 2: Convert to fraction form
    788.54/1,180.38 = 705.92/x
  3. Step 3: Cross multiply
    788.54x = 1,180.38 × 705.92
  4. Step 4: Simplify right side
    788.54x = 833,256.80
  5. Step 5: Solve for x
    x = 833,256.80/788.54
  6. Step 6: Final answer
    x = 1,056.70

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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.