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Finding the Fourth Proportional to 815.02, 1,124.66 and 460.91

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Solution

The fourth proportional to 815.02, 1,124.66 and 460.91 is: 636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.02 : 1,124.66 = 460.91 : x
  2. Step 2: Convert to fraction form
    815.02/1,124.66 = 460.91/x
  3. Step 3: Cross multiply
    815.02x = 1,124.66 × 460.91
  4. Step 4: Simplify right side
    815.02x = 518,364.74
  5. Step 5: Solve for x
    x = 518,364.74/815.02
  6. Step 6: Final answer
    x = 636.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.