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Finding the Fourth Proportional to 1,024.05, 1,536.24 and 407.76

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Solution

The fourth proportional to 1,024.05, 1,536.24 and 407.76 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.05 : 1,536.24 = 407.76 : x
  2. Step 2: Convert to fraction form
    1,024.05/1,536.24 = 407.76/x
  3. Step 3: Cross multiply
    1,024.05x = 1,536.24 × 407.76
  4. Step 4: Simplify right side
    1,024.05x = 626,415.18
  5. Step 5: Solve for x
    x = 626,415.18/1,024.05
  6. Step 6: Final answer
    x = 611.70

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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.