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Finding the Fourth Proportional to 711.01, 1,065.75 and 402.67

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Solution

The fourth proportional to 711.01, 1,065.75 and 402.67 is: 603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.01 : 1,065.75 = 402.67 : x
  2. Step 2: Convert to fraction form
    711.01/1,065.75 = 402.67/x
  3. Step 3: Cross multiply
    711.01x = 1,065.75 × 402.67
  4. Step 4: Simplify right side
    711.01x = 429,145.55
  5. Step 5: Solve for x
    x = 429,145.55/711.01
  6. Step 6: Final answer
    x = 603.57

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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.