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Finding the Fourth Proportional to 614.11, 916.14 and 597.37

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Solution

The fourth proportional to 614.11, 916.14 and 597.37 is: 891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.11 : 916.14 = 597.37 : x
  2. Step 2: Convert to fraction form
    614.11/916.14 = 597.37/x
  3. Step 3: Cross multiply
    614.11x = 916.14 × 597.37
  4. Step 4: Simplify right side
    614.11x = 547,274.55
  5. Step 5: Solve for x
    x = 547,274.55/614.11
  6. Step 6: Final answer
    x = 891.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.