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Finding the Fourth Proportional to 914.59, 1,373.70 and 785.65

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Solution

The fourth proportional to 914.59, 1,373.70 and 785.65 is: 1,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.59 : 1,373.70 = 785.65 : x
  2. Step 2: Convert to fraction form
    914.59/1,373.70 = 785.65/x
  3. Step 3: Cross multiply
    914.59x = 1,373.70 × 785.65
  4. Step 4: Simplify right side
    914.59x = 1,079,247.41
  5. Step 5: Solve for x
    x = 1,079,247.41/914.59
  6. Step 6: Final answer
    x = 1,180.03

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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.