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Finding the Fourth Proportional to 942.44, 1,411.89 and 649.58

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Solution

The fourth proportional to 942.44, 1,411.89 and 649.58 is: 973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.44 : 1,411.89 = 649.58 : x
  2. Step 2: Convert to fraction form
    942.44/1,411.89 = 649.58/x
  3. Step 3: Cross multiply
    942.44x = 1,411.89 × 649.58
  4. Step 4: Simplify right side
    942.44x = 917,135.51
  5. Step 5: Solve for x
    x = 917,135.51/942.44
  6. Step 6: Final answer
    x = 973.15

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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.