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Finding the Fourth Proportional to 690.93, 1,036.86 and 258.09

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Solution

The fourth proportional to 690.93, 1,036.86 and 258.09 is: 387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 1,036.86 = 258.09 : x
  2. Step 2: Convert to fraction form
    690.93/1,036.86 = 258.09/x
  3. Step 3: Cross multiply
    690.93x = 1,036.86 × 258.09
  4. Step 4: Simplify right side
    690.93x = 267,603.20
  5. Step 5: Solve for x
    x = 267,603.20/690.93
  6. Step 6: Final answer
    x = 387.31

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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.