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Finding the Fourth Proportional to 911.39, 1,257.73 and 497.39

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Solution

The fourth proportional to 911.39, 1,257.73 and 497.39 is: 686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.39 : 1,257.73 = 497.39 : x
  2. Step 2: Convert to fraction form
    911.39/1,257.73 = 497.39/x
  3. Step 3: Cross multiply
    911.39x = 1,257.73 × 497.39
  4. Step 4: Simplify right side
    911.39x = 625,574.79
  5. Step 5: Solve for x
    x = 625,574.79/911.39
  6. Step 6: Final answer
    x = 686.40

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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.