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Finding the Fourth Proportional to 840.76, 1,160.24 and 491.46

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Solution

The fourth proportional to 840.76, 1,160.24 and 491.46 is: 678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.76 : 1,160.24 = 491.46 : x
  2. Step 2: Convert to fraction form
    840.76/1,160.24 = 491.46/x
  3. Step 3: Cross multiply
    840.76x = 1,160.24 × 491.46
  4. Step 4: Simplify right side
    840.76x = 570,211.55
  5. Step 5: Solve for x
    x = 570,211.55/840.76
  6. Step 6: Final answer
    x = 678.21

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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.