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Finding the Fourth Proportional to 840.74, 1,159.52 and 653.90

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Solution

The fourth proportional to 840.74, 1,159.52 and 653.90 is: 901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.74 : 1,159.52 = 653.90 : x
  2. Step 2: Convert to fraction form
    840.74/1,159.52 = 653.90/x
  3. Step 3: Cross multiply
    840.74x = 1,159.52 × 653.90
  4. Step 4: Simplify right side
    840.74x = 758,201.06
  5. Step 5: Solve for x
    x = 758,201.06/840.74
  6. Step 6: Final answer
    x = 901.83

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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.