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Finding the Fourth Proportional to 917.07, 1,368.95 and 849.49

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Solution

The fourth proportional to 917.07, 1,368.95 and 849.49 is: 1,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.07 : 1,368.95 = 849.49 : x
  2. Step 2: Convert to fraction form
    917.07/1,368.95 = 849.49/x
  3. Step 3: Cross multiply
    917.07x = 1,368.95 × 849.49
  4. Step 4: Simplify right side
    917.07x = 1,162,898.24
  5. Step 5: Solve for x
    x = 1,162,898.24/917.07
  6. Step 6: Final answer
    x = 1,268.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.