Home / 1,147.51-1,583.40-650.17

Finding the Fourth Proportional to 1,147.51, 1,583.40 and 650.17

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Solution

The fourth proportional to 1,147.51, 1,583.40 and 650.17 is: 897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.51 : 1,583.40 = 650.17 : x
  2. Step 2: Convert to fraction form
    1,147.51/1,583.40 = 650.17/x
  3. Step 3: Cross multiply
    1,147.51x = 1,583.40 × 650.17
  4. Step 4: Simplify right side
    1,147.51x = 1,029,479.18
  5. Step 5: Solve for x
    x = 1,029,479.18/1,147.51
  6. Step 6: Final answer
    x = 897.14

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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.