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Finding the Fourth Proportional to 970.17, 1,455.86 and 537.63

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Solution

The fourth proportional to 970.17, 1,455.86 and 537.63 is: 806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.17 : 1,455.86 = 537.63 : x
  2. Step 2: Convert to fraction form
    970.17/1,455.86 = 537.63/x
  3. Step 3: Cross multiply
    970.17x = 1,455.86 × 537.63
  4. Step 4: Simplify right side
    970.17x = 782,714.01
  5. Step 5: Solve for x
    x = 782,714.01/970.17
  6. Step 6: Final answer
    x = 806.78

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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.