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Finding the Fourth Proportional to 840.68, 1,159.57 and 491.37

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Solution

The fourth proportional to 840.68, 1,159.57 and 491.37 is: 677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.68 : 1,159.57 = 491.37 : x
  2. Step 2: Convert to fraction form
    840.68/1,159.57 = 491.37/x
  3. Step 3: Cross multiply
    840.68x = 1,159.57 × 491.37
  4. Step 4: Simplify right side
    840.68x = 569,771.41
  5. Step 5: Solve for x
    x = 569,771.41/840.68
  6. Step 6: Final answer
    x = 677.75

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Half scale
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Double scale
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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.