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Finding the Fourth Proportional to 742.59, 1,024.74 and 410.99

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Solution

The fourth proportional to 742.59, 1,024.74 and 410.99 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.59 : 1,024.74 = 410.99 : x
  2. Step 2: Convert to fraction form
    742.59/1,024.74 = 410.99/x
  3. Step 3: Cross multiply
    742.59x = 1,024.74 × 410.99
  4. Step 4: Simplify right side
    742.59x = 421,152.77
  5. Step 5: Solve for x
    x = 421,152.77/742.59
  6. Step 6: Final answer
    x = 567.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.