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Finding the Fourth Proportional to 1,021.02, 1,529.10 and 586.86

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Solution

The fourth proportional to 1,021.02, 1,529.10 and 586.86 is: 878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.02 : 1,529.10 = 586.86 : x
  2. Step 2: Convert to fraction form
    1,021.02/1,529.10 = 586.86/x
  3. Step 3: Cross multiply
    1,021.02x = 1,529.10 × 586.86
  4. Step 4: Simplify right side
    1,021.02x = 897,367.63
  5. Step 5: Solve for x
    x = 897,367.63/1,021.02
  6. Step 6: Final answer
    x = 878.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.