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Finding the Fourth Proportional to 972.48, 1,461.74 and 562.44

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Solution

The fourth proportional to 972.48, 1,461.74 and 562.44 is: 845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.48 : 1,461.74 = 562.44 : x
  2. Step 2: Convert to fraction form
    972.48/1,461.74 = 562.44/x
  3. Step 3: Cross multiply
    972.48x = 1,461.74 × 562.44
  4. Step 4: Simplify right side
    972.48x = 822,138.23
  5. Step 5: Solve for x
    x = 822,138.23/972.48
  6. Step 6: Final answer
    x = 845.40

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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.