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Finding the Fourth Proportional to 803.60, 1,109.51 and 616.76

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Solution

The fourth proportional to 803.60, 1,109.51 and 616.76 is: 851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.60 : 1,109.51 = 616.76 : x
  2. Step 2: Convert to fraction form
    803.60/1,109.51 = 616.76/x
  3. Step 3: Cross multiply
    803.60x = 1,109.51 × 616.76
  4. Step 4: Simplify right side
    803.60x = 684,299.23
  5. Step 5: Solve for x
    x = 684,299.23/803.60
  6. Step 6: Final answer
    x = 851.54

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.