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Finding the Fourth Proportional to 749.30, 1,035.03 and 564.19

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Solution

The fourth proportional to 749.30, 1,035.03 and 564.19 is: 779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.30 : 1,035.03 = 564.19 : x
  2. Step 2: Convert to fraction form
    749.30/1,035.03 = 564.19/x
  3. Step 3: Cross multiply
    749.30x = 1,035.03 × 564.19
  4. Step 4: Simplify right side
    749.30x = 583,948.40
  5. Step 5: Solve for x
    x = 583,948.40/749.30
  6. Step 6: Final answer
    x = 779.33

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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.