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Finding the Fourth Proportional to 902.29, 1,245.14 and 509.35

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Solution

The fourth proportional to 902.29, 1,245.14 and 509.35 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.29 : 1,245.14 = 509.35 : x
  2. Step 2: Convert to fraction form
    902.29/1,245.14 = 509.35/x
  3. Step 3: Cross multiply
    902.29x = 1,245.14 × 509.35
  4. Step 4: Simplify right side
    902.29x = 634,209.51
  5. Step 5: Solve for x
    x = 634,209.51/902.29
  6. Step 6: Final answer
    x = 702.89

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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.