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Finding the Fourth Proportional to 1,091.41, 1,506 and 649.15

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Solution

The fourth proportional to 1,091.41, 1,506 and 649.15 is: 895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.41 : 1,506 = 649.15 : x
  2. Step 2: Convert to fraction form
    1,091.41/1,506 = 649.15/x
  3. Step 3: Cross multiply
    1,091.41x = 1,506 × 649.15
  4. Step 4: Simplify right side
    1,091.41x = 977,619.90
  5. Step 5: Solve for x
    x = 977,619.90/1,091.41
  6. Step 6: Final answer
    x = 895.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.