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Finding the Fourth Proportional to 901.22, 1,243.65 and 508.24

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Solution

The fourth proportional to 901.22, 1,243.65 and 508.24 is: 701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.22 : 1,243.65 = 508.24 : x
  2. Step 2: Convert to fraction form
    901.22/1,243.65 = 508.24/x
  3. Step 3: Cross multiply
    901.22x = 1,243.65 × 508.24
  4. Step 4: Simplify right side
    901.22x = 632,072.68
  5. Step 5: Solve for x
    x = 632,072.68/901.22
  6. Step 6: Final answer
    x = 701.35

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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.