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Finding the Fourth Proportional to 930.97, 1,284.15 and 557.68

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Solution

The fourth proportional to 930.97, 1,284.15 and 557.68 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.97 : 1,284.15 = 557.68 : x
  2. Step 2: Convert to fraction form
    930.97/1,284.15 = 557.68/x
  3. Step 3: Cross multiply
    930.97x = 1,284.15 × 557.68
  4. Step 4: Simplify right side
    930.97x = 716,144.77
  5. Step 5: Solve for x
    x = 716,144.77/930.97
  6. Step 6: Final answer
    x = 769.25

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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.