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Finding the Fourth Proportional to 873.10, 1,203.47 and 593.19

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Solution

The fourth proportional to 873.10, 1,203.47 and 593.19 is: 817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.10 : 1,203.47 = 593.19 : x
  2. Step 2: Convert to fraction form
    873.10/1,203.47 = 593.19/x
  3. Step 3: Cross multiply
    873.10x = 1,203.47 × 593.19
  4. Step 4: Simplify right side
    873.10x = 713,883.40
  5. Step 5: Solve for x
    x = 713,883.40/873.10
  6. Step 6: Final answer
    x = 817.64

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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.