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Finding the Fourth Proportional to 972.32, 1,460.22 and 933.17

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Solution

The fourth proportional to 972.32, 1,460.22 and 933.17 is: 1,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.32 : 1,460.22 = 933.17 : x
  2. Step 2: Convert to fraction form
    972.32/1,460.22 = 933.17/x
  3. Step 3: Cross multiply
    972.32x = 1,460.22 × 933.17
  4. Step 4: Simplify right side
    972.32x = 1,362,633.50
  5. Step 5: Solve for x
    x = 1,362,633.50/972.32
  6. Step 6: Final answer
    x = 1,401.42

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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.