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Finding the Fourth Proportional to 1,165.04, 1,755.34 and 1,053.99

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Solution

The fourth proportional to 1,165.04, 1,755.34 and 1,053.99 is: 1,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.04 : 1,755.34 = 1,053.99 : x
  2. Step 2: Convert to fraction form
    1,165.04/1,755.34 = 1,053.99/x
  3. Step 3: Cross multiply
    1,165.04x = 1,755.34 × 1,053.99
  4. Step 4: Simplify right side
    1,165.04x = 1,850,110.81
  5. Step 5: Solve for x
    x = 1,850,110.81/1,165.04
  6. Step 6: Final answer
    x = 1,588.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.