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Finding the Fourth Proportional to 1,200.17, 1,800.54 and 469.76

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Solution

The fourth proportional to 1,200.17, 1,800.54 and 469.76 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.17 : 1,800.54 = 469.76 : x
  2. Step 2: Convert to fraction form
    1,200.17/1,800.54 = 469.76/x
  3. Step 3: Cross multiply
    1,200.17x = 1,800.54 × 469.76
  4. Step 4: Simplify right side
    1,200.17x = 845,812.67
  5. Step 5: Solve for x
    x = 845,812.67/1,200.17
  6. Step 6: Final answer
    x = 704.74

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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.