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Finding the Fourth Proportional to 1,648.33, 2,473.47 and 609.06

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Solution

The fourth proportional to 1,648.33, 2,473.47 and 609.06 is: 913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.33 : 2,473.47 = 609.06 : x
  2. Step 2: Convert to fraction form
    1,648.33/2,473.47 = 609.06/x
  3. Step 3: Cross multiply
    1,648.33x = 2,473.47 × 609.06
  4. Step 4: Simplify right side
    1,648.33x = 1,506,491.64
  5. Step 5: Solve for x
    x = 1,506,491.64/1,648.33
  6. Step 6: Final answer
    x = 913.95

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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.