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Finding the Fourth Proportional to 1,020.61, 1,529.41 and 603.71

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Solution

The fourth proportional to 1,020.61, 1,529.41 and 603.71 is: 904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.61 : 1,529.41 = 603.71 : x
  2. Step 2: Convert to fraction form
    1,020.61/1,529.41 = 603.71/x
  3. Step 3: Cross multiply
    1,020.61x = 1,529.41 × 603.71
  4. Step 4: Simplify right side
    1,020.61x = 923,320.11
  5. Step 5: Solve for x
    x = 923,320.11/1,020.61
  6. Step 6: Final answer
    x = 904.67

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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.