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Finding the Fourth Proportional to 1,677.32, 2,516.74 and 582.48

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Solution

The fourth proportional to 1,677.32, 2,516.74 and 582.48 is: 873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.32 : 2,516.74 = 582.48 : x
  2. Step 2: Convert to fraction form
    1,677.32/2,516.74 = 582.48/x
  3. Step 3: Cross multiply
    1,677.32x = 2,516.74 × 582.48
  4. Step 4: Simplify right side
    1,677.32x = 1,465,950.72
  5. Step 5: Solve for x
    x = 1,465,950.72/1,677.32
  6. Step 6: Final answer
    x = 873.98

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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.