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Finding the Fourth Proportional to 847.14, 1,270.58 and 291.93

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Solution

The fourth proportional to 847.14, 1,270.58 and 291.93 is: 437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.14 : 1,270.58 = 291.93 : x
  2. Step 2: Convert to fraction form
    847.14/1,270.58 = 291.93/x
  3. Step 3: Cross multiply
    847.14x = 1,270.58 × 291.93
  4. Step 4: Simplify right side
    847.14x = 370,922.16
  5. Step 5: Solve for x
    x = 370,922.16/847.14
  6. Step 6: Final answer
    x = 437.85

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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.