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Finding the Fourth Proportional to 1,582.57, 2,373.63 and 412.48

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Solution

The fourth proportional to 1,582.57, 2,373.63 and 412.48 is: 618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.57 : 2,373.63 = 412.48 : x
  2. Step 2: Convert to fraction form
    1,582.57/2,373.63 = 412.48/x
  3. Step 3: Cross multiply
    1,582.57x = 2,373.63 × 412.48
  4. Step 4: Simplify right side
    1,582.57x = 979,065.55
  5. Step 5: Solve for x
    x = 979,065.55/1,582.57
  6. Step 6: Final answer
    x = 618.66

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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.