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Finding the Fourth Proportional to 614.64, 927.54 and 596.40

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Solution

The fourth proportional to 614.64, 927.54 and 596.40 is: 900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.64 : 927.54 = 596.40 : x
  2. Step 2: Convert to fraction form
    614.64/927.54 = 596.40/x
  3. Step 3: Cross multiply
    614.64x = 927.54 × 596.40
  4. Step 4: Simplify right side
    614.64x = 553,184.86
  5. Step 5: Solve for x
    x = 553,184.86/614.64
  6. Step 6: Final answer
    x = 900.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.