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Finding the Fourth Proportional to 1,126.09, 1,689.03 and 304.45

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Solution

The fourth proportional to 1,126.09, 1,689.03 and 304.45 is: 456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.09 : 1,689.03 = 304.45 : x
  2. Step 2: Convert to fraction form
    1,126.09/1,689.03 = 304.45/x
  3. Step 3: Cross multiply
    1,126.09x = 1,689.03 × 304.45
  4. Step 4: Simplify right side
    1,126.09x = 514,225.18
  5. Step 5: Solve for x
    x = 514,225.18/1,126.09
  6. Step 6: Final answer
    x = 456.65

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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.