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Finding the Fourth Proportional to 710.88, 1,066.35 and 381.68

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Solution

The fourth proportional to 710.88, 1,066.35 and 381.68 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.88 : 1,066.35 = 381.68 : x
  2. Step 2: Convert to fraction form
    710.88/1,066.35 = 381.68/x
  3. Step 3: Cross multiply
    710.88x = 1,066.35 × 381.68
  4. Step 4: Simplify right side
    710.88x = 407,004.47
  5. Step 5: Solve for x
    x = 407,004.47/710.88
  6. Step 6: Final answer
    x = 572.54

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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.