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Finding the Fourth Proportional to 931.44, 1,285.42 and 511.83

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Solution

The fourth proportional to 931.44, 1,285.42 and 511.83 is: 706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.44 : 1,285.42 = 511.83 : x
  2. Step 2: Convert to fraction form
    931.44/1,285.42 = 511.83/x
  3. Step 3: Cross multiply
    931.44x = 1,285.42 × 511.83
  4. Step 4: Simplify right side
    931.44x = 657,916.52
  5. Step 5: Solve for x
    x = 657,916.52/931.44
  6. Step 6: Final answer
    x = 706.34

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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.