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Finding the Fourth Proportional to 883, 1,218.28 and 509.95

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Solution

The fourth proportional to 883, 1,218.28 and 509.95 is: 703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    883 : 1,218.28 = 509.95 : x
  2. Step 2: Convert to fraction form
    883/1,218.28 = 509.95/x
  3. Step 3: Cross multiply
    883x = 1,218.28 × 509.95
  4. Step 4: Simplify right side
    883x = 621,261.89
  5. Step 5: Solve for x
    x = 621,261.89/883
  6. Step 6: Final answer
    x = 703.58

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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.