Home / 1,143.07-1,577.34-645.75

Finding the Fourth Proportional to 1,143.07, 1,577.34 and 645.75

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Solution

The fourth proportional to 1,143.07, 1,577.34 and 645.75 is: 891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.07 : 1,577.34 = 645.75 : x
  2. Step 2: Convert to fraction form
    1,143.07/1,577.34 = 645.75/x
  3. Step 3: Cross multiply
    1,143.07x = 1,577.34 × 645.75
  4. Step 4: Simplify right side
    1,143.07x = 1,018,567.31
  5. Step 5: Solve for x
    x = 1,018,567.31/1,143.07
  6. Step 6: Final answer
    x = 891.08

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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.