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Finding the Fourth Proportional to 1,019.54, 1,529.10 and 649.23

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Solution

The fourth proportional to 1,019.54, 1,529.10 and 649.23 is: 973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.54 : 1,529.10 = 649.23 : x
  2. Step 2: Convert to fraction form
    1,019.54/1,529.10 = 649.23/x
  3. Step 3: Cross multiply
    1,019.54x = 1,529.10 × 649.23
  4. Step 4: Simplify right side
    1,019.54x = 992,737.59
  5. Step 5: Solve for x
    x = 992,737.59/1,019.54
  6. Step 6: Final answer
    x = 973.71

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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.