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Finding the Fourth Proportional to 1,624.52, 2,435.76 and 649.52

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Solution

The fourth proportional to 1,624.52, 2,435.76 and 649.52 is: 973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.52 : 2,435.76 = 649.52 : x
  2. Step 2: Convert to fraction form
    1,624.52/2,435.76 = 649.52/x
  3. Step 3: Cross multiply
    1,624.52x = 2,435.76 × 649.52
  4. Step 4: Simplify right side
    1,624.52x = 1,582,074.84
  5. Step 5: Solve for x
    x = 1,582,074.84/1,624.52
  6. Step 6: Final answer
    x = 973.87

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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.