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Finding the Fourth Proportional to 1,582.83, 2,373.53 and 542.54

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Solution

The fourth proportional to 1,582.83, 2,373.53 and 542.54 is: 813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.83 : 2,373.53 = 542.54 : x
  2. Step 2: Convert to fraction form
    1,582.83/2,373.53 = 542.54/x
  3. Step 3: Cross multiply
    1,582.83x = 2,373.53 × 542.54
  4. Step 4: Simplify right side
    1,582.83x = 1,287,738.19
  5. Step 5: Solve for x
    x = 1,287,738.19/1,582.83
  6. Step 6: Final answer
    x = 813.57

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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.