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Finding the Fourth Proportional to 1,062.42, 1,592.70 and 412.69

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Solution

The fourth proportional to 1,062.42, 1,592.70 and 412.69 is: 618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.42 : 1,592.70 = 412.69 : x
  2. Step 2: Convert to fraction form
    1,062.42/1,592.70 = 412.69/x
  3. Step 3: Cross multiply
    1,062.42x = 1,592.70 × 412.69
  4. Step 4: Simplify right side
    1,062.42x = 657,291.36
  5. Step 5: Solve for x
    x = 657,291.36/1,062.42
  6. Step 6: Final answer
    x = 618.67

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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.