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Finding the Fourth Proportional to 815.14, 1,124.80 and 461.02

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Solution

The fourth proportional to 815.14, 1,124.80 and 461.02 is: 636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.14 : 1,124.80 = 461.02 : x
  2. Step 2: Convert to fraction form
    815.14/1,124.80 = 461.02/x
  3. Step 3: Cross multiply
    815.14x = 1,124.80 × 461.02
  4. Step 4: Simplify right side
    815.14x = 518,547.37
  5. Step 5: Solve for x
    x = 518,547.37/815.14
  6. Step 6: Final answer
    x = 636.15

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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.