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Finding the Fourth Proportional to 944.37, 1,416.56 and 457.56

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Solution

The fourth proportional to 944.37, 1,416.56 and 457.56 is: 686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.37 : 1,416.56 = 457.56 : x
  2. Step 2: Convert to fraction form
    944.37/1,416.56 = 457.56/x
  3. Step 3: Cross multiply
    944.37x = 1,416.56 × 457.56
  4. Step 4: Simplify right side
    944.37x = 648,158.91
  5. Step 5: Solve for x
    x = 648,158.91/944.37
  6. Step 6: Final answer
    x = 686.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.