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Finding the Fourth Proportional to 901.15, 1,243.14 and 582.01

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Solution

The fourth proportional to 901.15, 1,243.14 and 582.01 is: 802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.15 : 1,243.14 = 582.01 : x
  2. Step 2: Convert to fraction form
    901.15/1,243.14 = 582.01/x
  3. Step 3: Cross multiply
    901.15x = 1,243.14 × 582.01
  4. Step 4: Simplify right side
    901.15x = 723,519.91
  5. Step 5: Solve for x
    x = 723,519.91/901.15
  6. Step 6: Final answer
    x = 802.89

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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.