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Finding the Fourth Proportional to 1,024.03, 1,536.05 and 561.72

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Solution

The fourth proportional to 1,024.03, 1,536.05 and 561.72 is: 842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.03 : 1,536.05 = 561.72 : x
  2. Step 2: Convert to fraction form
    1,024.03/1,536.05 = 561.72/x
  3. Step 3: Cross multiply
    1,024.03x = 1,536.05 × 561.72
  4. Step 4: Simplify right side
    1,024.03x = 862,830.01
  5. Step 5: Solve for x
    x = 862,830.01/1,024.03
  6. Step 6: Final answer
    x = 842.58

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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.