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Finding the Fourth Proportional to 741.08, 1,114.14 and 597.80

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Solution

The fourth proportional to 741.08, 1,114.14 and 597.80 is: 898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.08 : 1,114.14 = 597.80 : x
  2. Step 2: Convert to fraction form
    741.08/1,114.14 = 597.80/x
  3. Step 3: Cross multiply
    741.08x = 1,114.14 × 597.80
  4. Step 4: Simplify right side
    741.08x = 666,032.89
  5. Step 5: Solve for x
    x = 666,032.89/741.08
  6. Step 6: Final answer
    x = 898.73

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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.