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Finding the Fourth Proportional to 783.96, 1,079.40 and 665.70

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Solution

The fourth proportional to 783.96, 1,079.40 and 665.70 is: 916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.96 : 1,079.40 = 665.70 : x
  2. Step 2: Convert to fraction form
    783.96/1,079.40 = 665.70/x
  3. Step 3: Cross multiply
    783.96x = 1,079.40 × 665.70
  4. Step 4: Simplify right side
    783.96x = 718,556.58
  5. Step 5: Solve for x
    x = 718,556.58/783.96
  6. Step 6: Final answer
    x = 916.57

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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.