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Finding the Fourth Proportional to 750.83, 1,035.05 and 564.32

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Solution

The fourth proportional to 750.83, 1,035.05 and 564.32 is: 777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.83 : 1,035.05 = 564.32 : x
  2. Step 2: Convert to fraction form
    750.83/1,035.05 = 564.32/x
  3. Step 3: Cross multiply
    750.83x = 1,035.05 × 564.32
  4. Step 4: Simplify right side
    750.83x = 584,099.18
  5. Step 5: Solve for x
    x = 584,099.18/750.83
  6. Step 6: Final answer
    x = 777.94

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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.