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Finding the Fourth Proportional to 710.34, 1,064.87 and 277.39

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Solution

The fourth proportional to 710.34, 1,064.87 and 277.39 is: 415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.34 : 1,064.87 = 277.39 : x
  2. Step 2: Convert to fraction form
    710.34/1,064.87 = 277.39/x
  3. Step 3: Cross multiply
    710.34x = 1,064.87 × 277.39
  4. Step 4: Simplify right side
    710.34x = 295,384.29
  5. Step 5: Solve for x
    x = 295,384.29/710.34
  6. Step 6: Final answer
    x = 415.84

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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.