Home / 1,020.45-1,407.27-646.77

Finding the Fourth Proportional to 1,020.45, 1,407.27 and 646.77

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Solution

The fourth proportional to 1,020.45, 1,407.27 and 646.77 is: 891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.45 : 1,407.27 = 646.77 : x
  2. Step 2: Convert to fraction form
    1,020.45/1,407.27 = 646.77/x
  3. Step 3: Cross multiply
    1,020.45x = 1,407.27 × 646.77
  4. Step 4: Simplify right side
    1,020.45x = 910,180.02
  5. Step 5: Solve for x
    x = 910,180.02/1,020.45
  6. Step 6: Final answer
    x = 891.94

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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.