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Finding the Fourth Proportional to 901.99, 1,244.80 and 509.05

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Solution

The fourth proportional to 901.99, 1,244.80 and 509.05 is: 702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.99 : 1,244.80 = 509.05 : x
  2. Step 2: Convert to fraction form
    901.99/1,244.80 = 509.05/x
  3. Step 3: Cross multiply
    901.99x = 1,244.80 × 509.05
  4. Step 4: Simplify right side
    901.99x = 633,665.44
  5. Step 5: Solve for x
    x = 633,665.44/901.99
  6. Step 6: Final answer
    x = 702.52

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1.5x scale

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.