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Finding the Fourth Proportional to 1,091.18, 1,505.98 and 649.00

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Solution

The fourth proportional to 1,091.18, 1,505.98 and 649.00 is: 895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.18 : 1,505.98 = 649.00 : x
  2. Step 2: Convert to fraction form
    1,091.18/1,505.98 = 649.00/x
  3. Step 3: Cross multiply
    1,091.18x = 1,505.98 × 649.00
  4. Step 4: Simplify right side
    1,091.18x = 977,373.49
  5. Step 5: Solve for x
    x = 977,373.49/1,091.18
  6. Step 6: Final answer
    x = 895.70

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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.