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Finding the Fourth Proportional to 1,024.80, 1,533.56 and 589.83

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Solution

The fourth proportional to 1,024.80, 1,533.56 and 589.83 is: 882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.80 : 1,533.56 = 589.83 : x
  2. Step 2: Convert to fraction form
    1,024.80/1,533.56 = 589.83/x
  3. Step 3: Cross multiply
    1,024.80x = 1,533.56 × 589.83
  4. Step 4: Simplify right side
    1,024.80x = 904,536.75
  5. Step 5: Solve for x
    x = 904,536.75/1,024.80
  6. Step 6: Final answer
    x = 882.65

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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.