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Finding the Fourth Proportional to 953.86, 1,316.22 and 534.22

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Solution

The fourth proportional to 953.86, 1,316.22 and 534.22 is: 737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.86 : 1,316.22 = 534.22 : x
  2. Step 2: Convert to fraction form
    953.86/1,316.22 = 534.22/x
  3. Step 3: Cross multiply
    953.86x = 1,316.22 × 534.22
  4. Step 4: Simplify right side
    953.86x = 703,151.05
  5. Step 5: Solve for x
    x = 703,151.05/953.86
  6. Step 6: Final answer
    x = 737.16

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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.