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Finding the Fourth Proportional to 1,053.99, 1,581.57 and 643.41

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Solution

The fourth proportional to 1,053.99, 1,581.57 and 643.41 is: 965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.99 : 1,581.57 = 643.41 : x
  2. Step 2: Convert to fraction form
    1,053.99/1,581.57 = 643.41/x
  3. Step 3: Cross multiply
    1,053.99x = 1,581.57 × 643.41
  4. Step 4: Simplify right side
    1,053.99x = 1,017,597.95
  5. Step 5: Solve for x
    x = 1,017,597.95/1,053.99
  6. Step 6: Final answer
    x = 965.47

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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.