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Finding the Fourth Proportional to 901.88, 1,244.59 and 509.00

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Solution

The fourth proportional to 901.88, 1,244.59 and 509.00 is: 702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.88 : 1,244.59 = 509.00 : x
  2. Step 2: Convert to fraction form
    901.88/1,244.59 = 509.00/x
  3. Step 3: Cross multiply
    901.88x = 1,244.59 × 509.00
  4. Step 4: Simplify right side
    901.88x = 633,488.81
  5. Step 5: Solve for x
    x = 633,488.81/901.88
  6. Step 6: Final answer
    x = 702.41

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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.