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Finding the Fourth Proportional to 1,130.07, 1,559.41 and 687.91

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Solution

The fourth proportional to 1,130.07, 1,559.41 and 687.91 is: 949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.07 : 1,559.41 = 687.91 : x
  2. Step 2: Convert to fraction form
    1,130.07/1,559.41 = 687.91/x
  3. Step 3: Cross multiply
    1,130.07x = 1,559.41 × 687.91
  4. Step 4: Simplify right side
    1,130.07x = 1,072,733.73
  5. Step 5: Solve for x
    x = 1,072,733.73/1,130.07
  6. Step 6: Final answer
    x = 949.26

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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.