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Finding the Fourth Proportional to 971.52, 1,340.71 and 578.77

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Solution

The fourth proportional to 971.52, 1,340.71 and 578.77 is: 798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.52 : 1,340.71 = 578.77 : x
  2. Step 2: Convert to fraction form
    971.52/1,340.71 = 578.77/x
  3. Step 3: Cross multiply
    971.52x = 1,340.71 × 578.77
  4. Step 4: Simplify right side
    971.52x = 775,965.77
  5. Step 5: Solve for x
    x = 775,965.77/971.52
  6. Step 6: Final answer
    x = 798.71

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1.5x scale

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.