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Finding the Fourth Proportional to 1,486.47, 2,228.16 and 608.59

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Solution

The fourth proportional to 1,486.47, 2,228.16 and 608.59 is: 912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.47 : 2,228.16 = 608.59 : x
  2. Step 2: Convert to fraction form
    1,486.47/2,228.16 = 608.59/x
  3. Step 3: Cross multiply
    1,486.47x = 2,228.16 × 608.59
  4. Step 4: Simplify right side
    1,486.47x = 1,356,035.89
  5. Step 5: Solve for x
    x = 1,356,035.89/1,486.47
  6. Step 6: Final answer
    x = 912.25

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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.