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Finding the Fourth Proportional to 890.34, 1,335.50 and 564.72

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Solution

The fourth proportional to 890.34, 1,335.50 and 564.72 is: 847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.34 : 1,335.50 = 564.72 : x
  2. Step 2: Convert to fraction form
    890.34/1,335.50 = 564.72/x
  3. Step 3: Cross multiply
    890.34x = 1,335.50 × 564.72
  4. Step 4: Simplify right side
    890.34x = 754,181.02
  5. Step 5: Solve for x
    x = 754,181.02/890.34
  6. Step 6: Final answer
    x = 847.07

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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.