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Finding the Fourth Proportional to 1,677.30, 2,516.30 and 507.39

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Solution

The fourth proportional to 1,677.30, 2,516.30 and 507.39 is: 761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.30 : 2,516.30 = 507.39 : x
  2. Step 2: Convert to fraction form
    1,677.30/2,516.30 = 507.39/x
  3. Step 3: Cross multiply
    1,677.30x = 2,516.30 × 507.39
  4. Step 4: Simplify right side
    1,677.30x = 1,276,745.46
  5. Step 5: Solve for x
    x = 1,276,745.46/1,677.30
  6. Step 6: Final answer
    x = 761.19

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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.