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Finding the Fourth Proportional to 930.76, 1,396.58 and 584

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Solution

The fourth proportional to 930.76, 1,396.58 and 584 is: 876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.76 : 1,396.58 = 584 : x
  2. Step 2: Convert to fraction form
    930.76/1,396.58 = 584/x
  3. Step 3: Cross multiply
    930.76x = 1,396.58 × 584
  4. Step 4: Simplify right side
    930.76x = 815,602.72
  5. Step 5: Solve for x
    x = 815,602.72/930.76
  6. Step 6: Final answer
    x = 876.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.