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Finding the Fourth Proportional to 860.76, 1,291.14 and 312.93

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Solution

The fourth proportional to 860.76, 1,291.14 and 312.93 is: 469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.76 : 1,291.14 = 312.93 : x
  2. Step 2: Convert to fraction form
    860.76/1,291.14 = 312.93/x
  3. Step 3: Cross multiply
    860.76x = 1,291.14 × 312.93
  4. Step 4: Simplify right side
    860.76x = 404,036.44
  5. Step 5: Solve for x
    x = 404,036.44/860.76
  6. Step 6: Final answer
    x = 469.40

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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.