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Finding the Fourth Proportional to 1,053.92, 1,582.78 and 835.22

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Solution

The fourth proportional to 1,053.92, 1,582.78 and 835.22 is: 1,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.92 : 1,582.78 = 835.22 : x
  2. Step 2: Convert to fraction form
    1,053.92/1,582.78 = 835.22/x
  3. Step 3: Cross multiply
    1,053.92x = 1,582.78 × 835.22
  4. Step 4: Simplify right side
    1,053.92x = 1,321,969.51
  5. Step 5: Solve for x
    x = 1,321,969.51/1,053.92
  6. Step 6: Final answer
    x = 1,254.34

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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.