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Finding the Fourth Proportional to 1,201.44, 1,802.00 and 471.53

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Solution

The fourth proportional to 1,201.44, 1,802.00 and 471.53 is: 707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.44 : 1,802.00 = 471.53 : x
  2. Step 2: Convert to fraction form
    1,201.44/1,802.00 = 471.53/x
  3. Step 3: Cross multiply
    1,201.44x = 1,802.00 × 471.53
  4. Step 4: Simplify right side
    1,201.44x = 849,702.74
  5. Step 5: Solve for x
    x = 849,702.74/1,201.44
  6. Step 6: Final answer
    x = 707.24

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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.