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Finding the Fourth Proportional to 697.14, 1,045.71 and 285.93

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Solution

The fourth proportional to 697.14, 1,045.71 and 285.93 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.14 : 1,045.71 = 285.93 : x
  2. Step 2: Convert to fraction form
    697.14/1,045.71 = 285.93/x
  3. Step 3: Cross multiply
    697.14x = 1,045.71 × 285.93
  4. Step 4: Simplify right side
    697.14x = 298,999.86
  5. Step 5: Solve for x
    x = 298,999.86/697.14
  6. Step 6: Final answer
    x = 428.90

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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.