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Finding the Fourth Proportional to 1,558.86, 2,337.89 and 462.93

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Solution

The fourth proportional to 1,558.86, 2,337.89 and 462.93 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.86 : 2,337.89 = 462.93 : x
  2. Step 2: Convert to fraction form
    1,558.86/2,337.89 = 462.93/x
  3. Step 3: Cross multiply
    1,558.86x = 2,337.89 × 462.93
  4. Step 4: Simplify right side
    1,558.86x = 1,082,277.10
  5. Step 5: Solve for x
    x = 1,082,277.10/1,558.86
  6. Step 6: Final answer
    x = 694.27

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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.