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Finding the Fourth Proportional to 883.15, 1,218.74 and 510.12

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Solution

The fourth proportional to 883.15, 1,218.74 and 510.12 is: 703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.15 : 1,218.74 = 510.12 : x
  2. Step 2: Convert to fraction form
    883.15/1,218.74 = 510.12/x
  3. Step 3: Cross multiply
    883.15x = 1,218.74 × 510.12
  4. Step 4: Simplify right side
    883.15x = 621,703.65
  5. Step 5: Solve for x
    x = 621,703.65/883.15
  6. Step 6: Final answer
    x = 703.97

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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.