Home / 1,223.52-1,689.36-961.08

Finding the Fourth Proportional to 1,223.52, 1,689.36 and 961.08

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Solution

The fourth proportional to 1,223.52, 1,689.36 and 961.08 is: 1,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.52 : 1,689.36 = 961.08 : x
  2. Step 2: Convert to fraction form
    1,223.52/1,689.36 = 961.08/x
  3. Step 3: Cross multiply
    1,223.52x = 1,689.36 × 961.08
  4. Step 4: Simplify right side
    1,223.52x = 1,623,610.11
  5. Step 5: Solve for x
    x = 1,623,610.11/1,223.52
  6. Step 6: Final answer
    x = 1,327.00

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1.5x scale

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.