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Finding the Fourth Proportional to 930.37, 1,284.06 and 557.23

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Solution

The fourth proportional to 930.37, 1,284.06 and 557.23 is: 769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.37 : 1,284.06 = 557.23 : x
  2. Step 2: Convert to fraction form
    930.37/1,284.06 = 557.23/x
  3. Step 3: Cross multiply
    930.37x = 1,284.06 × 557.23
  4. Step 4: Simplify right side
    930.37x = 715,516.75
  5. Step 5: Solve for x
    x = 715,516.75/930.37
  6. Step 6: Final answer
    x = 769.07

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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.