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Finding the Fourth Proportional to 1,126.06, 1,689.15 and 356.50

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Solution

The fourth proportional to 1,126.06, 1,689.15 and 356.50 is: 534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.06 : 1,689.15 = 356.50 : x
  2. Step 2: Convert to fraction form
    1,126.06/1,689.15 = 356.50/x
  3. Step 3: Cross multiply
    1,126.06x = 1,689.15 × 356.50
  4. Step 4: Simplify right side
    1,126.06x = 602,181.98
  5. Step 5: Solve for x
    x = 602,181.98/1,126.06
  6. Step 6: Final answer
    x = 534.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.