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Finding the Fourth Proportional to 733.65, 1,013.39 and 594.69

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Solution

The fourth proportional to 733.65, 1,013.39 and 594.69 is: 821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.65 : 1,013.39 = 594.69 : x
  2. Step 2: Convert to fraction form
    733.65/1,013.39 = 594.69/x
  3. Step 3: Cross multiply
    733.65x = 1,013.39 × 594.69
  4. Step 4: Simplify right side
    733.65x = 602,649.93
  5. Step 5: Solve for x
    x = 602,649.93/733.65
  6. Step 6: Final answer
    x = 821.44

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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.