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Finding the Fourth Proportional to 945.50, 1,417.24 and 457.48

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Solution

The fourth proportional to 945.50, 1,417.24 and 457.48 is: 685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 1,417.24 = 457.48 : x
  2. Step 2: Convert to fraction form
    945.50/1,417.24 = 457.48/x
  3. Step 3: Cross multiply
    945.50x = 1,417.24 × 457.48
  4. Step 4: Simplify right side
    945.50x = 648,349.58
  5. Step 5: Solve for x
    x = 648,349.58/945.50
  6. Step 6: Final answer
    x = 685.72

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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.