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Finding the Fourth Proportional to 1,702.55, 2,553.30 and 606.30

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Solution

The fourth proportional to 1,702.55, 2,553.30 and 606.30 is: 909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.55 : 2,553.30 = 606.30 : x
  2. Step 2: Convert to fraction form
    1,702.55/2,553.30 = 606.30/x
  3. Step 3: Cross multiply
    1,702.55x = 2,553.30 × 606.30
  4. Step 4: Simplify right side
    1,702.55x = 1,548,065.79
  5. Step 5: Solve for x
    x = 1,548,065.79/1,702.55
  6. Step 6: Final answer
    x = 909.27

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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.