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Finding the Fourth Proportional to 1,134.77, 1,703.53 and 1,077.36

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Solution

The fourth proportional to 1,134.77, 1,703.53 and 1,077.36 is: 1,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.77 : 1,703.53 = 1,077.36 : x
  2. Step 2: Convert to fraction form
    1,134.77/1,703.53 = 1,077.36/x
  3. Step 3: Cross multiply
    1,134.77x = 1,703.53 × 1,077.36
  4. Step 4: Simplify right side
    1,134.77x = 1,835,315.08
  5. Step 5: Solve for x
    x = 1,835,315.08/1,134.77
  6. Step 6: Final answer
    x = 1,617.35

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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.