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Finding the Fourth Proportional to 899.84, 1,347.84 and 557.12

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Solution

The fourth proportional to 899.84, 1,347.84 and 557.12 is: 834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.84 : 1,347.84 = 557.12 : x
  2. Step 2: Convert to fraction form
    899.84/1,347.84 = 557.12/x
  3. Step 3: Cross multiply
    899.84x = 1,347.84 × 557.12
  4. Step 4: Simplify right side
    899.84x = 750,908.62
  5. Step 5: Solve for x
    x = 750,908.62/899.84
  6. Step 6: Final answer
    x = 834.49

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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.