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Finding the Fourth Proportional to 840.44, 1,160.02 and 560.76

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Solution

The fourth proportional to 840.44, 1,160.02 and 560.76 is: 773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.44 : 1,160.02 = 560.76 : x
  2. Step 2: Convert to fraction form
    840.44/1,160.02 = 560.76/x
  3. Step 3: Cross multiply
    840.44x = 1,160.02 × 560.76
  4. Step 4: Simplify right side
    840.44x = 650,492.82
  5. Step 5: Solve for x
    x = 650,492.82/840.44
  6. Step 6: Final answer
    x = 773.99

Related Problems

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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.