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Finding the Fourth Proportional to 826.69, 1,140.85 and 472.69

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Solution

The fourth proportional to 826.69, 1,140.85 and 472.69 is: 652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.69 : 1,140.85 = 472.69 : x
  2. Step 2: Convert to fraction form
    826.69/1,140.85 = 472.69/x
  3. Step 3: Cross multiply
    826.69x = 1,140.85 × 472.69
  4. Step 4: Simplify right side
    826.69x = 539,268.39
  5. Step 5: Solve for x
    x = 539,268.39/826.69
  6. Step 6: Final answer
    x = 652.32

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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.