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Finding the Fourth Proportional to 971.74, 1,340.43 and 578.50

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Solution

The fourth proportional to 971.74, 1,340.43 and 578.50 is: 797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.74 : 1,340.43 = 578.50 : x
  2. Step 2: Convert to fraction form
    971.74/1,340.43 = 578.50/x
  3. Step 3: Cross multiply
    971.74x = 1,340.43 × 578.50
  4. Step 4: Simplify right side
    971.74x = 775,438.76
  5. Step 5: Solve for x
    x = 775,438.76/971.74
  6. Step 6: Final answer
    x = 797.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.