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Finding the Fourth Proportional to 699.86, 1,048.63 and 352.84

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Solution

The fourth proportional to 699.86, 1,048.63 and 352.84 is: 528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.86 : 1,048.63 = 352.84 : x
  2. Step 2: Convert to fraction form
    699.86/1,048.63 = 352.84/x
  3. Step 3: Cross multiply
    699.86x = 1,048.63 × 352.84
  4. Step 4: Simplify right side
    699.86x = 369,998.61
  5. Step 5: Solve for x
    x = 369,998.61/699.86
  6. Step 6: Final answer
    x = 528.68

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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.