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Finding the Fourth Proportional to 1,702.29, 2,553.64 and 606.77

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Solution

The fourth proportional to 1,702.29, 2,553.64 and 606.77 is: 910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.29 : 2,553.64 = 606.77 : x
  2. Step 2: Convert to fraction form
    1,702.29/2,553.64 = 606.77/x
  3. Step 3: Cross multiply
    1,702.29x = 2,553.64 × 606.77
  4. Step 4: Simplify right side
    1,702.29x = 1,549,472.14
  5. Step 5: Solve for x
    x = 1,549,472.14/1,702.29
  6. Step 6: Final answer
    x = 910.23

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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.