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Finding the Fourth Proportional to 690.06, 1,034.96 and 257.26

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Solution

The fourth proportional to 690.06, 1,034.96 and 257.26 is: 385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.06 : 1,034.96 = 257.26 : x
  2. Step 2: Convert to fraction form
    690.06/1,034.96 = 257.26/x
  3. Step 3: Cross multiply
    690.06x = 1,034.96 × 257.26
  4. Step 4: Simplify right side
    690.06x = 266,253.81
  5. Step 5: Solve for x
    x = 266,253.81/690.06
  6. Step 6: Final answer
    x = 385.84

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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.