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Finding the Fourth Proportional to 840.25, 1,159.68 and 490.94

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Solution

The fourth proportional to 840.25, 1,159.68 and 490.94 is: 677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.25 : 1,159.68 = 490.94 : x
  2. Step 2: Convert to fraction form
    840.25/1,159.68 = 490.94/x
  3. Step 3: Cross multiply
    840.25x = 1,159.68 × 490.94
  4. Step 4: Simplify right side
    840.25x = 569,333.30
  5. Step 5: Solve for x
    x = 569,333.30/840.25
  6. Step 6: Final answer
    x = 677.58

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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.