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Finding the Fourth Proportional to 900.86, 1,243.13 and 502.58

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Solution

The fourth proportional to 900.86, 1,243.13 and 502.58 is: 693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.86 : 1,243.13 = 502.58 : x
  2. Step 2: Convert to fraction form
    900.86/1,243.13 = 502.58/x
  3. Step 3: Cross multiply
    900.86x = 1,243.13 × 502.58
  4. Step 4: Simplify right side
    900.86x = 624,779.57
  5. Step 5: Solve for x
    x = 624,779.57/900.86
  6. Step 6: Final answer
    x = 693.53

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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.