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Finding the Fourth Proportional to 690.23, 1,034.74 and 535.93

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Solution

The fourth proportional to 690.23, 1,034.74 and 535.93 is: 803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.23 : 1,034.74 = 535.93 : x
  2. Step 2: Convert to fraction form
    690.23/1,034.74 = 535.93/x
  3. Step 3: Cross multiply
    690.23x = 1,034.74 × 535.93
  4. Step 4: Simplify right side
    690.23x = 554,546.29
  5. Step 5: Solve for x
    x = 554,546.29/690.23
  6. Step 6: Final answer
    x = 803.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.