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Finding the Fourth Proportional to 733.38, 1,011.87 and 585.57

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Solution

The fourth proportional to 733.38, 1,011.87 and 585.57 is: 807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.38 : 1,011.87 = 585.57 : x
  2. Step 2: Convert to fraction form
    733.38/1,011.87 = 585.57/x
  3. Step 3: Cross multiply
    733.38x = 1,011.87 × 585.57
  4. Step 4: Simplify right side
    733.38x = 592,520.72
  5. Step 5: Solve for x
    x = 592,520.72/733.38
  6. Step 6: Final answer
    x = 807.93

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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.