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Finding the Fourth Proportional to 788.42, 1,088.48 and 523.22

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Solution

The fourth proportional to 788.42, 1,088.48 and 523.22 is: 722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.42 : 1,088.48 = 523.22 : x
  2. Step 2: Convert to fraction form
    788.42/1,088.48 = 523.22/x
  3. Step 3: Cross multiply
    788.42x = 1,088.48 × 523.22
  4. Step 4: Simplify right side
    788.42x = 569,506.45
  5. Step 5: Solve for x
    x = 569,506.45/788.42
  6. Step 6: Final answer
    x = 722.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.