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Finding the Fourth Proportional to 614.96, 853.76 and 597.14

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Solution

The fourth proportional to 614.96, 853.76 and 597.14 is: 829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.96 : 853.76 = 597.14 : x
  2. Step 2: Convert to fraction form
    614.96/853.76 = 597.14/x
  3. Step 3: Cross multiply
    614.96x = 853.76 × 597.14
  4. Step 4: Simplify right side
    614.96x = 509,814.25
  5. Step 5: Solve for x
    x = 509,814.25/614.96
  6. Step 6: Final answer
    x = 829.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.