Home / 1,513.08-2,268.90-646.92

Finding the Fourth Proportional to 1,513.08, 2,268.90 and 646.92

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Solution

The fourth proportional to 1,513.08, 2,268.90 and 646.92 is: 970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.08 : 2,268.90 = 646.92 : x
  2. Step 2: Convert to fraction form
    1,513.08/2,268.90 = 646.92/x
  3. Step 3: Cross multiply
    1,513.08x = 2,268.90 × 646.92
  4. Step 4: Simplify right side
    1,513.08x = 1,467,796.79
  5. Step 5: Solve for x
    x = 1,467,796.79/1,513.08
  6. Step 6: Final answer
    x = 970.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.