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Finding the Fourth Proportional to 968.75, 1,337.57 and 596.23

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Solution

The fourth proportional to 968.75, 1,337.57 and 596.23 is: 823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.75 : 1,337.57 = 596.23 : x
  2. Step 2: Convert to fraction form
    968.75/1,337.57 = 596.23/x
  3. Step 3: Cross multiply
    968.75x = 1,337.57 × 596.23
  4. Step 4: Simplify right side
    968.75x = 797,499.36
  5. Step 5: Solve for x
    x = 797,499.36/968.75
  6. Step 6: Final answer
    x = 823.23

Related Problems

Find fourth proportional to 484.38, 668.79 and 298.12
Half scale
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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.