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Finding the Fourth Proportional to 890.07, 1,335.38 and 457.53

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Solution

The fourth proportional to 890.07, 1,335.38 and 457.53 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.07 : 1,335.38 = 457.53 : x
  2. Step 2: Convert to fraction form
    890.07/1,335.38 = 457.53/x
  3. Step 3: Cross multiply
    890.07x = 1,335.38 × 457.53
  4. Step 4: Simplify right side
    890.07x = 610,974.12
  5. Step 5: Solve for x
    x = 610,974.12/890.07
  6. Step 6: Final answer
    x = 686.43

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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.