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Finding the Fourth Proportional to 857.89, 1,184.03 and 526.50

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Solution

The fourth proportional to 857.89, 1,184.03 and 526.50 is: 726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.89 : 1,184.03 = 526.50 : x
  2. Step 2: Convert to fraction form
    857.89/1,184.03 = 526.50/x
  3. Step 3: Cross multiply
    857.89x = 1,184.03 × 526.50
  4. Step 4: Simplify right side
    857.89x = 623,391.80
  5. Step 5: Solve for x
    x = 623,391.80/857.89
  6. Step 6: Final answer
    x = 726.66

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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.