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Finding the Fourth Proportional to 699.12, 1,048.68 and 523.61

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Solution

The fourth proportional to 699.12, 1,048.68 and 523.61 is: 785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.12 : 1,048.68 = 523.61 : x
  2. Step 2: Convert to fraction form
    699.12/1,048.68 = 523.61/x
  3. Step 3: Cross multiply
    699.12x = 1,048.68 × 523.61
  4. Step 4: Simplify right side
    699.12x = 549,094.09
  5. Step 5: Solve for x
    x = 549,094.09/699.12
  6. Step 6: Final answer
    x = 785.41

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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.