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Finding the Fourth Proportional to 830.09, 1,144.25 and 697.25

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Solution

The fourth proportional to 830.09, 1,144.25 and 697.25 is: 961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.09 : 1,144.25 = 697.25 : x
  2. Step 2: Convert to fraction form
    830.09/1,144.25 = 697.25/x
  3. Step 3: Cross multiply
    830.09x = 1,144.25 × 697.25
  4. Step 4: Simplify right side
    830.09x = 797,828.31
  5. Step 5: Solve for x
    x = 797,828.31/830.09
  6. Step 6: Final answer
    x = 961.13

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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.