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Finding the Fourth Proportional to 710.05, 1,064.75 and 393.23

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Solution

The fourth proportional to 710.05, 1,064.75 and 393.23 is: 589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.05 : 1,064.75 = 393.23 : x
  2. Step 2: Convert to fraction form
    710.05/1,064.75 = 393.23/x
  3. Step 3: Cross multiply
    710.05x = 1,064.75 × 393.23
  4. Step 4: Simplify right side
    710.05x = 418,692.66
  5. Step 5: Solve for x
    x = 418,692.66/710.05
  6. Step 6: Final answer
    x = 589.67

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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.