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Finding the Fourth Proportional to 875.32, 1,208.14 and 596.23

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Solution

The fourth proportional to 875.32, 1,208.14 and 596.23 is: 822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.32 : 1,208.14 = 596.23 : x
  2. Step 2: Convert to fraction form
    875.32/1,208.14 = 596.23/x
  3. Step 3: Cross multiply
    875.32x = 1,208.14 × 596.23
  4. Step 4: Simplify right side
    875.32x = 720,324.80
  5. Step 5: Solve for x
    x = 720,324.80/875.32
  6. Step 6: Final answer
    x = 822.93

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Double scale
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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.