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Finding the Fourth Proportional to 1,021.34, 1,529.46 and 655.02

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Solution

The fourth proportional to 1,021.34, 1,529.46 and 655.02 is: 980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.34 : 1,529.46 = 655.02 : x
  2. Step 2: Convert to fraction form
    1,021.34/1,529.46 = 655.02/x
  3. Step 3: Cross multiply
    1,021.34x = 1,529.46 × 655.02
  4. Step 4: Simplify right side
    1,021.34x = 1,001,826.89
  5. Step 5: Solve for x
    x = 1,001,826.89/1,021.34
  6. Step 6: Final answer
    x = 980.89

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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.