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Finding the Fourth Proportional to 930.78, 1,283.58 and 581.40

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Solution

The fourth proportional to 930.78, 1,283.58 and 581.40 is: 801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,283.58 = 581.40 : x
  2. Step 2: Convert to fraction form
    930.78/1,283.58 = 581.40/x
  3. Step 3: Cross multiply
    930.78x = 1,283.58 × 581.40
  4. Step 4: Simplify right side
    930.78x = 746,273.41
  5. Step 5: Solve for x
    x = 746,273.41/930.78
  6. Step 6: Final answer
    x = 801.77

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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.