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Finding the Fourth Proportional to 780.59, 1,170.86 and 203.46

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Solution

The fourth proportional to 780.59, 1,170.86 and 203.46 is: 305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.59 : 1,170.86 = 203.46 : x
  2. Step 2: Convert to fraction form
    780.59/1,170.86 = 203.46/x
  3. Step 3: Cross multiply
    780.59x = 1,170.86 × 203.46
  4. Step 4: Simplify right side
    780.59x = 238,222.16
  5. Step 5: Solve for x
    x = 238,222.16/780.59
  6. Step 6: Final answer
    x = 305.18

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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.