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Finding the Fourth Proportional to 699.93, 1,051.07 and 470.30

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Solution

The fourth proportional to 699.93, 1,051.07 and 470.30 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.93 : 1,051.07 = 470.30 : x
  2. Step 2: Convert to fraction form
    699.93/1,051.07 = 470.30/x
  3. Step 3: Cross multiply
    699.93x = 1,051.07 × 470.30
  4. Step 4: Simplify right side
    699.93x = 494,310.61
  5. Step 5: Solve for x
    x = 494,310.61/699.93
  6. Step 6: Final answer
    x = 706.23

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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.