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Finding the Fourth Proportional to 785.84, 1,177.44 and 705.68

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Solution

The fourth proportional to 785.84, 1,177.44 and 705.68 is: 1,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.84 : 1,177.44 = 705.68 : x
  2. Step 2: Convert to fraction form
    785.84/1,177.44 = 705.68/x
  3. Step 3: Cross multiply
    785.84x = 1,177.44 × 705.68
  4. Step 4: Simplify right side
    785.84x = 830,895.86
  5. Step 5: Solve for x
    x = 830,895.86/785.84
  6. Step 6: Final answer
    x = 1,057.33

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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.