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Finding the Fourth Proportional to 1,085.02, 1,497.24 and 612.88

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Solution

The fourth proportional to 1,085.02, 1,497.24 and 612.88 is: 845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.02 : 1,497.24 = 612.88 : x
  2. Step 2: Convert to fraction form
    1,085.02/1,497.24 = 612.88/x
  3. Step 3: Cross multiply
    1,085.02x = 1,497.24 × 612.88
  4. Step 4: Simplify right side
    1,085.02x = 917,624.71
  5. Step 5: Solve for x
    x = 917,624.71/1,085.02
  6. Step 6: Final answer
    x = 845.72

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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.