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Finding the Fourth Proportional to 684.72, 1,026.70 and 468.56

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Solution

The fourth proportional to 684.72, 1,026.70 and 468.56 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 1,026.70 = 468.56 : x
  2. Step 2: Convert to fraction form
    684.72/1,026.70 = 468.56/x
  3. Step 3: Cross multiply
    684.72x = 1,026.70 × 468.56
  4. Step 4: Simplify right side
    684.72x = 481,070.55
  5. Step 5: Solve for x
    x = 481,070.55/684.72
  6. Step 6: Final answer
    x = 702.58

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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.