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Finding the Fourth Proportional to 1,173.13, 1,618.94 and 649.15

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Solution

The fourth proportional to 1,173.13, 1,618.94 and 649.15 is: 895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.13 : 1,618.94 = 649.15 : x
  2. Step 2: Convert to fraction form
    1,173.13/1,618.94 = 649.15/x
  3. Step 3: Cross multiply
    1,173.13x = 1,618.94 × 649.15
  4. Step 4: Simplify right side
    1,173.13x = 1,050,934.90
  5. Step 5: Solve for x
    x = 1,050,934.90/1,173.13
  6. Step 6: Final answer
    x = 895.84

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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.