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Finding the Fourth Proportional to 1,023.17, 1,411.90 and 603.68

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Solution

The fourth proportional to 1,023.17, 1,411.90 and 603.68 is: 833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.17 : 1,411.90 = 603.68 : x
  2. Step 2: Convert to fraction form
    1,023.17/1,411.90 = 603.68/x
  3. Step 3: Cross multiply
    1,023.17x = 1,411.90 × 603.68
  4. Step 4: Simplify right side
    1,023.17x = 852,327.22
  5. Step 5: Solve for x
    x = 852,327.22/1,023.17
  6. Step 6: Final answer
    x = 833.03

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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.