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Finding the Fourth Proportional to 947.37, 1,421.37 and 460.47

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Solution

The fourth proportional to 947.37, 1,421.37 and 460.47 is: 690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.37 : 1,421.37 = 460.47 : x
  2. Step 2: Convert to fraction form
    947.37/1,421.37 = 460.47/x
  3. Step 3: Cross multiply
    947.37x = 1,421.37 × 460.47
  4. Step 4: Simplify right side
    947.37x = 654,498.24
  5. Step 5: Solve for x
    x = 654,498.24/947.37
  6. Step 6: Final answer
    x = 690.86

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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.