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Finding the Fourth Proportional to 972.17, 1,455.85 and 890.24

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Solution

The fourth proportional to 972.17, 1,455.85 and 890.24 is: 1,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.17 : 1,455.85 = 890.24 : x
  2. Step 2: Convert to fraction form
    972.17/1,455.85 = 890.24/x
  3. Step 3: Cross multiply
    972.17x = 1,455.85 × 890.24
  4. Step 4: Simplify right side
    972.17x = 1,296,055.90
  5. Step 5: Solve for x
    x = 1,296,055.90/972.17
  6. Step 6: Final answer
    x = 1,333.16

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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.