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Finding the Fourth Proportional to 974.24, 1,457.70 and 582.80

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Solution

The fourth proportional to 974.24, 1,457.70 and 582.80 is: 872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.24 : 1,457.70 = 582.80 : x
  2. Step 2: Convert to fraction form
    974.24/1,457.70 = 582.80/x
  3. Step 3: Cross multiply
    974.24x = 1,457.70 × 582.80
  4. Step 4: Simplify right side
    974.24x = 849,547.56
  5. Step 5: Solve for x
    x = 849,547.56/974.24
  6. Step 6: Final answer
    x = 872.01

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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.