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Finding the Fourth Proportional to 1,024, 1,535.34 and 374.68

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Solution

The fourth proportional to 1,024, 1,535.34 and 374.68 is: 561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024 : 1,535.34 = 374.68 : x
  2. Step 2: Convert to fraction form
    1,024/1,535.34 = 374.68/x
  3. Step 3: Cross multiply
    1,024x = 1,535.34 × 374.68
  4. Step 4: Simplify right side
    1,024x = 575,261.19
  5. Step 5: Solve for x
    x = 575,261.19/1,024
  6. Step 6: Final answer
    x = 561.78

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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.