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Finding the Fourth Proportional to 1,053.86, 1,453.86 and 661.01

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Solution

The fourth proportional to 1,053.86, 1,453.86 and 661.01 is: 911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.86 : 1,453.86 = 661.01 : x
  2. Step 2: Convert to fraction form
    1,053.86/1,453.86 = 661.01/x
  3. Step 3: Cross multiply
    1,053.86x = 1,453.86 × 661.01
  4. Step 4: Simplify right side
    1,053.86x = 961,008.73
  5. Step 5: Solve for x
    x = 961,008.73/1,053.86
  6. Step 6: Final answer
    x = 911.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.