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Finding the Fourth Proportional to 1,144.92, 1,580.03 and 702.74

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Solution

The fourth proportional to 1,144.92, 1,580.03 and 702.74 is: 969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.92 : 1,580.03 = 702.74 : x
  2. Step 2: Convert to fraction form
    1,144.92/1,580.03 = 702.74/x
  3. Step 3: Cross multiply
    1,144.92x = 1,580.03 × 702.74
  4. Step 4: Simplify right side
    1,144.92x = 1,110,338.87
  5. Step 5: Solve for x
    x = 1,110,338.87/1,144.92
  6. Step 6: Final answer
    x = 969.80

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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.