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Finding the Fourth Proportional to 750.88, 1,035.41 and 646.32

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Solution

The fourth proportional to 750.88, 1,035.41 and 646.32 is: 891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.88 : 1,035.41 = 646.32 : x
  2. Step 2: Convert to fraction form
    750.88/1,035.41 = 646.32/x
  3. Step 3: Cross multiply
    750.88x = 1,035.41 × 646.32
  4. Step 4: Simplify right side
    750.88x = 669,206.19
  5. Step 5: Solve for x
    x = 669,206.19/750.88
  6. Step 6: Final answer
    x = 891.23

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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.