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Finding the Fourth Proportional to 702.82, 1,054.70 and 486.01

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Solution

The fourth proportional to 702.82, 1,054.70 and 486.01 is: 729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.82 : 1,054.70 = 486.01 : x
  2. Step 2: Convert to fraction form
    702.82/1,054.70 = 486.01/x
  3. Step 3: Cross multiply
    702.82x = 1,054.70 × 486.01
  4. Step 4: Simplify right side
    702.82x = 512,594.75
  5. Step 5: Solve for x
    x = 512,594.75/702.82
  6. Step 6: Final answer
    x = 729.34

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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.