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Finding the Fourth Proportional to 753.69, 1,040.01 and 422.10

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Solution

The fourth proportional to 753.69, 1,040.01 and 422.10 is: 582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.69 : 1,040.01 = 422.10 : x
  2. Step 2: Convert to fraction form
    753.69/1,040.01 = 422.10/x
  3. Step 3: Cross multiply
    753.69x = 1,040.01 × 422.10
  4. Step 4: Simplify right side
    753.69x = 438,988.22
  5. Step 5: Solve for x
    x = 438,988.22/753.69
  6. Step 6: Final answer
    x = 582.45

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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.