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Finding the Fourth Proportional to 614.70, 859.50 and 614.70

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Solution

The fourth proportional to 614.70, 859.50 and 614.70 is: 859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.70 : 859.50 = 614.70 : x
  2. Step 2: Convert to fraction form
    614.70/859.50 = 614.70/x
  3. Step 3: Cross multiply
    614.70x = 859.50 × 614.70
  4. Step 4: Simplify right side
    614.70x = 528,334.65
  5. Step 5: Solve for x
    x = 528,334.65/614.70
  6. Step 6: Final answer
    x = 859.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.