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Finding the Fourth Proportional to 873.86, 1,205.46 and 594.10

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Solution

The fourth proportional to 873.86, 1,205.46 and 594.10 is: 819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.86 : 1,205.46 = 594.10 : x
  2. Step 2: Convert to fraction form
    873.86/1,205.46 = 594.10/x
  3. Step 3: Cross multiply
    873.86x = 1,205.46 × 594.10
  4. Step 4: Simplify right side
    873.86x = 716,160.77
  5. Step 5: Solve for x
    x = 716,160.77/873.86
  6. Step 6: Final answer
    x = 819.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.