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Finding the Fourth Proportional to 1,677.34, 2,514.32 and 580.94

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Solution

The fourth proportional to 1,677.34, 2,514.32 and 580.94 is: 870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.34 : 2,514.32 = 580.94 : x
  2. Step 2: Convert to fraction form
    1,677.34/2,514.32 = 580.94/x
  3. Step 3: Cross multiply
    1,677.34x = 2,514.32 × 580.94
  4. Step 4: Simplify right side
    1,677.34x = 1,460,669.06
  5. Step 5: Solve for x
    x = 1,460,669.06/1,677.34
  6. Step 6: Final answer
    x = 870.82

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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.