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Finding the Fourth Proportional to 883.34, 1,219.03 and 604.16

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Solution

The fourth proportional to 883.34, 1,219.03 and 604.16 is: 833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.34 : 1,219.03 = 604.16 : x
  2. Step 2: Convert to fraction form
    883.34/1,219.03 = 604.16/x
  3. Step 3: Cross multiply
    883.34x = 1,219.03 × 604.16
  4. Step 4: Simplify right side
    883.34x = 736,483.07
  5. Step 5: Solve for x
    x = 736,483.07/883.34
  6. Step 6: Final answer
    x = 833.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.