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Finding the Fourth Proportional to 1,575.34, 2,362.67 and 650.66

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Solution

The fourth proportional to 1,575.34, 2,362.67 and 650.66 is: 975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.34 : 2,362.67 = 650.66 : x
  2. Step 2: Convert to fraction form
    1,575.34/2,362.67 = 650.66/x
  3. Step 3: Cross multiply
    1,575.34x = 2,362.67 × 650.66
  4. Step 4: Simplify right side
    1,575.34x = 1,537,290.58
  5. Step 5: Solve for x
    x = 1,537,290.58/1,575.34
  6. Step 6: Final answer
    x = 975.85

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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.