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Finding the Fourth Proportional to 857.88, 1,184.09 and 508.50

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Solution

The fourth proportional to 857.88, 1,184.09 and 508.50 is: 701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.88 : 1,184.09 = 508.50 : x
  2. Step 2: Convert to fraction form
    857.88/1,184.09 = 508.50/x
  3. Step 3: Cross multiply
    857.88x = 1,184.09 × 508.50
  4. Step 4: Simplify right side
    857.88x = 602,109.77
  5. Step 5: Solve for x
    x = 602,109.77/857.88
  6. Step 6: Final answer
    x = 701.86

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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.