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Finding the Fourth Proportional to 858.34, 1,185.08 and 527.10

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Solution

The fourth proportional to 858.34, 1,185.08 and 527.10 is: 727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.34 : 1,185.08 = 527.10 : x
  2. Step 2: Convert to fraction form
    858.34/1,185.08 = 527.10/x
  3. Step 3: Cross multiply
    858.34x = 1,185.08 × 527.10
  4. Step 4: Simplify right side
    858.34x = 624,655.67
  5. Step 5: Solve for x
    x = 624,655.67/858.34
  6. Step 6: Final answer
    x = 727.75

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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.