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Finding the Fourth Proportional to 1,702.40, 2,553.61 and 470.17

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Solution

The fourth proportional to 1,702.40, 2,553.61 and 470.17 is: 705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.40 : 2,553.61 = 470.17 : x
  2. Step 2: Convert to fraction form
    1,702.40/2,553.61 = 470.17/x
  3. Step 3: Cross multiply
    1,702.40x = 2,553.61 × 470.17
  4. Step 4: Simplify right side
    1,702.40x = 1,200,622.08
  5. Step 5: Solve for x
    x = 1,200,622.08/1,702.40
  6. Step 6: Final answer
    x = 705.25

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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.