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Finding the Fourth Proportional to 710.66, 1,066.14 and 277.86

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Solution

The fourth proportional to 710.66, 1,066.14 and 277.86 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.66 : 1,066.14 = 277.86 : x
  2. Step 2: Convert to fraction form
    710.66/1,066.14 = 277.86/x
  3. Step 3: Cross multiply
    710.66x = 1,066.14 × 277.86
  4. Step 4: Simplify right side
    710.66x = 296,237.66
  5. Step 5: Solve for x
    x = 296,237.66/710.66
  6. Step 6: Final answer
    x = 416.85

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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.