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Finding the Fourth Proportional to 749.53, 1,035.60 and 582.16

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Solution

The fourth proportional to 749.53, 1,035.60 and 582.16 is: 804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.53 : 1,035.60 = 582.16 : x
  2. Step 2: Convert to fraction form
    749.53/1,035.60 = 582.16/x
  3. Step 3: Cross multiply
    749.53x = 1,035.60 × 582.16
  4. Step 4: Simplify right side
    749.53x = 602,884.90
  5. Step 5: Solve for x
    x = 602,884.90/749.53
  6. Step 6: Final answer
    x = 804.35

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Why These Related Problems?

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