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Finding the Fourth Proportional to 890.40, 1,335.42 and 457.32

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Solution

The fourth proportional to 890.40, 1,335.42 and 457.32 is: 685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.40 : 1,335.42 = 457.32 : x
  2. Step 2: Convert to fraction form
    890.40/1,335.42 = 457.32/x
  3. Step 3: Cross multiply
    890.40x = 1,335.42 × 457.32
  4. Step 4: Simplify right side
    890.40x = 610,714.27
  5. Step 5: Solve for x
    x = 610,714.27/890.40
  6. Step 6: Final answer
    x = 685.89

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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.