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Finding the Fourth Proportional to 616.16, 923.64 and 500.84

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Solution

The fourth proportional to 616.16, 923.64 and 500.84 is: 750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 923.64 = 500.84 : x
  2. Step 2: Convert to fraction form
    616.16/923.64 = 500.84/x
  3. Step 3: Cross multiply
    616.16x = 923.64 × 500.84
  4. Step 4: Simplify right side
    616.16x = 462,595.86
  5. Step 5: Solve for x
    x = 462,595.86/616.16
  6. Step 6: Final answer
    x = 750.77

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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.