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Finding the Fourth Proportional to 930.17, 1,283.12 and 593.45

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Solution

The fourth proportional to 930.17, 1,283.12 and 593.45 is: 818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.17 : 1,283.12 = 593.45 : x
  2. Step 2: Convert to fraction form
    930.17/1,283.12 = 593.45/x
  3. Step 3: Cross multiply
    930.17x = 1,283.12 × 593.45
  4. Step 4: Simplify right side
    930.17x = 761,467.56
  5. Step 5: Solve for x
    x = 761,467.56/930.17
  6. Step 6: Final answer
    x = 818.63

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Double scale
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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.