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Finding the Fourth Proportional to 857.60, 1,184.33 and 592.72

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Solution

The fourth proportional to 857.60, 1,184.33 and 592.72 is: 818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.60 : 1,184.33 = 592.72 : x
  2. Step 2: Convert to fraction form
    857.60/1,184.33 = 592.72/x
  3. Step 3: Cross multiply
    857.60x = 1,184.33 × 592.72
  4. Step 4: Simplify right side
    857.60x = 701,973.11
  5. Step 5: Solve for x
    x = 701,973.11/857.60
  6. Step 6: Final answer
    x = 818.53

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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.