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Finding the Fourth Proportional to 1,021.14, 1,529.01 and 604.35

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Solution

The fourth proportional to 1,021.14, 1,529.01 and 604.35 is: 904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.14 : 1,529.01 = 604.35 : x
  2. Step 2: Convert to fraction form
    1,021.14/1,529.01 = 604.35/x
  3. Step 3: Cross multiply
    1,021.14x = 1,529.01 × 604.35
  4. Step 4: Simplify right side
    1,021.14x = 924,057.19
  5. Step 5: Solve for x
    x = 924,057.19/1,021.14
  6. Step 6: Final answer
    x = 904.93

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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.