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Finding the Fourth Proportional to 772.12, 1,156.56 and 527.50

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Solution

The fourth proportional to 772.12, 1,156.56 and 527.50 is: 790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.12 : 1,156.56 = 527.50 : x
  2. Step 2: Convert to fraction form
    772.12/1,156.56 = 527.50/x
  3. Step 3: Cross multiply
    772.12x = 1,156.56 × 527.50
  4. Step 4: Simplify right side
    772.12x = 610,085.40
  5. Step 5: Solve for x
    x = 610,085.40/772.12
  6. Step 6: Final answer
    x = 790.14

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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.