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Finding the Fourth Proportional to 1,063.30, 1,592.93 and 830.73

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Solution

The fourth proportional to 1,063.30, 1,592.93 and 830.73 is: 1,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.30 : 1,592.93 = 830.73 : x
  2. Step 2: Convert to fraction form
    1,063.30/1,592.93 = 830.73/x
  3. Step 3: Cross multiply
    1,063.30x = 1,592.93 × 830.73
  4. Step 4: Simplify right side
    1,063.30x = 1,323,294.74
  5. Step 5: Solve for x
    x = 1,323,294.74/1,063.30
  6. Step 6: Final answer
    x = 1,244.52

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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.