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Finding the Fourth Proportional to 1,201.53, 1,801.24 and 508.07

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Solution

The fourth proportional to 1,201.53, 1,801.24 and 508.07 is: 761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.53 : 1,801.24 = 508.07 : x
  2. Step 2: Convert to fraction form
    1,201.53/1,801.24 = 508.07/x
  3. Step 3: Cross multiply
    1,201.53x = 1,801.24 × 508.07
  4. Step 4: Simplify right side
    1,201.53x = 915,159.24
  5. Step 5: Solve for x
    x = 915,159.24/1,201.53
  6. Step 6: Final answer
    x = 761.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.