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Finding the Fourth Proportional to 1,544.78, 2,316.74 and 607.57

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Solution

The fourth proportional to 1,544.78, 2,316.74 and 607.57 is: 911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.78 : 2,316.74 = 607.57 : x
  2. Step 2: Convert to fraction form
    1,544.78/2,316.74 = 607.57/x
  3. Step 3: Cross multiply
    1,544.78x = 2,316.74 × 607.57
  4. Step 4: Simplify right side
    1,544.78x = 1,407,572.89
  5. Step 5: Solve for x
    x = 1,407,572.89/1,544.78
  6. Step 6: Final answer
    x = 911.18

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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.