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Finding the Fourth Proportional to 898.93, 1,350.02 and 412.93

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Solution

The fourth proportional to 898.93, 1,350.02 and 412.93 is: 620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.93 : 1,350.02 = 412.93 : x
  2. Step 2: Convert to fraction form
    898.93/1,350.02 = 412.93/x
  3. Step 3: Cross multiply
    898.93x = 1,350.02 × 412.93
  4. Step 4: Simplify right side
    898.93x = 557,463.76
  5. Step 5: Solve for x
    x = 557,463.76/898.93
  6. Step 6: Final answer
    x = 620.14

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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.