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Finding the Fourth Proportional to 1,091.34, 1,506.03 and 649.23

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Solution

The fourth proportional to 1,091.34, 1,506.03 and 649.23 is: 895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.34 : 1,506.03 = 649.23 : x
  2. Step 2: Convert to fraction form
    1,091.34/1,506.03 = 649.23/x
  3. Step 3: Cross multiply
    1,091.34x = 1,506.03 × 649.23
  4. Step 4: Simplify right side
    1,091.34x = 977,759.86
  5. Step 5: Solve for x
    x = 977,759.86/1,091.34
  6. Step 6: Final answer
    x = 895.93

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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.