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Finding the Fourth Proportional to 860.59, 1,294.00 and 792.93

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Solution

The fourth proportional to 860.59, 1,294.00 and 792.93 is: 1,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.59 : 1,294.00 = 792.93 : x
  2. Step 2: Convert to fraction form
    860.59/1,294.00 = 792.93/x
  3. Step 3: Cross multiply
    860.59x = 1,294.00 × 792.93
  4. Step 4: Simplify right side
    860.59x = 1,026,056.64
  5. Step 5: Solve for x
    x = 1,026,056.64/860.59
  6. Step 6: Final answer
    x = 1,192.27

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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.