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Finding the Fourth Proportional to 733.04, 1,010.64 and 584.13

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Solution

The fourth proportional to 733.04, 1,010.64 and 584.13 is: 805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.04 : 1,010.64 = 584.13 : x
  2. Step 2: Convert to fraction form
    733.04/1,010.64 = 584.13/x
  3. Step 3: Cross multiply
    733.04x = 1,010.64 × 584.13
  4. Step 4: Simplify right side
    733.04x = 590,345.14
  5. Step 5: Solve for x
    x = 590,345.14/733.04
  6. Step 6: Final answer
    x = 805.34

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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.