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Finding the Fourth Proportional to 899.02, 1,347.45 and 411.40

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Solution

The fourth proportional to 899.02, 1,347.45 and 411.40 is: 616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.02 : 1,347.45 = 411.40 : x
  2. Step 2: Convert to fraction form
    899.02/1,347.45 = 411.40/x
  3. Step 3: Cross multiply
    899.02x = 1,347.45 × 411.40
  4. Step 4: Simplify right side
    899.02x = 554,340.93
  5. Step 5: Solve for x
    x = 554,340.93/899.02
  6. Step 6: Final answer
    x = 616.61

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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.