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Finding the Fourth Proportional to 818.52, 1,225.95 and 471.03

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Solution

The fourth proportional to 818.52, 1,225.95 and 471.03 is: 705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.52 : 1,225.95 = 471.03 : x
  2. Step 2: Convert to fraction form
    818.52/1,225.95 = 471.03/x
  3. Step 3: Cross multiply
    818.52x = 1,225.95 × 471.03
  4. Step 4: Simplify right side
    818.52x = 577,459.23
  5. Step 5: Solve for x
    x = 577,459.23/818.52
  6. Step 6: Final answer
    x = 705.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.