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Finding the Fourth Proportional to 883.92, 1,219.80 and 510.89

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Solution

The fourth proportional to 883.92, 1,219.80 and 510.89 is: 705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.92 : 1,219.80 = 510.89 : x
  2. Step 2: Convert to fraction form
    883.92/1,219.80 = 510.89/x
  3. Step 3: Cross multiply
    883.92x = 1,219.80 × 510.89
  4. Step 4: Simplify right side
    883.92x = 623,177.52
  5. Step 5: Solve for x
    x = 623,177.52/883.92
  6. Step 6: Final answer
    x = 705.02

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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.