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Finding the Fourth Proportional to 889.76, 1,333.02 and 457.40

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Solution

The fourth proportional to 889.76, 1,333.02 and 457.40 is: 685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.76 : 1,333.02 = 457.40 : x
  2. Step 2: Convert to fraction form
    889.76/1,333.02 = 457.40/x
  3. Step 3: Cross multiply
    889.76x = 1,333.02 × 457.40
  4. Step 4: Simplify right side
    889.76x = 609,723.35
  5. Step 5: Solve for x
    x = 609,723.35/889.76
  6. Step 6: Final answer
    x = 685.27

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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.