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Finding the Fourth Proportional to 815.19, 1,124.99 and 500.35

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Solution

The fourth proportional to 815.19, 1,124.99 and 500.35 is: 690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.19 : 1,124.99 = 500.35 : x
  2. Step 2: Convert to fraction form
    815.19/1,124.99 = 500.35/x
  3. Step 3: Cross multiply
    815.19x = 1,124.99 × 500.35
  4. Step 4: Simplify right side
    815.19x = 562,883.43
  5. Step 5: Solve for x
    x = 562,883.43/815.19
  6. Step 6: Final answer
    x = 690.50

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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.