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Finding the Fourth Proportional to 1,556.82, 2,336.04 and 690.93

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Solution

The fourth proportional to 1,556.82, 2,336.04 and 690.93 is: 1,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.82 : 2,336.04 = 690.93 : x
  2. Step 2: Convert to fraction form
    1,556.82/2,336.04 = 690.93/x
  3. Step 3: Cross multiply
    1,556.82x = 2,336.04 × 690.93
  4. Step 4: Simplify right side
    1,556.82x = 1,614,040.12
  5. Step 5: Solve for x
    x = 1,614,040.12/1,556.82
  6. Step 6: Final answer
    x = 1,036.75

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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.