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Finding the Fourth Proportional to 972.94, 1,342.67 and 553.26

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Solution

The fourth proportional to 972.94, 1,342.67 and 553.26 is: 763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.94 : 1,342.67 = 553.26 : x
  2. Step 2: Convert to fraction form
    972.94/1,342.67 = 553.26/x
  3. Step 3: Cross multiply
    972.94x = 1,342.67 × 553.26
  4. Step 4: Simplify right side
    972.94x = 742,845.60
  5. Step 5: Solve for x
    x = 742,845.60/972.94
  6. Step 6: Final answer
    x = 763.51

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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.