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Finding the Fourth Proportional to 1,134, 1,689.73 and 1,011.35

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Solution

The fourth proportional to 1,134, 1,689.73 and 1,011.35 is: 1,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134 : 1,689.73 = 1,011.35 : x
  2. Step 2: Convert to fraction form
    1,134/1,689.73 = 1,011.35/x
  3. Step 3: Cross multiply
    1,134x = 1,689.73 × 1,011.35
  4. Step 4: Simplify right side
    1,134x = 1,708,910.13
  5. Step 5: Solve for x
    x = 1,708,910.13/1,134
  6. Step 6: Final answer
    x = 1,506.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.