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Finding the Fourth Proportional to 750.92, 1,035.79 and 585.07

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Solution

The fourth proportional to 750.92, 1,035.79 and 585.07 is: 807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.92 : 1,035.79 = 585.07 : x
  2. Step 2: Convert to fraction form
    750.92/1,035.79 = 585.07/x
  3. Step 3: Cross multiply
    750.92x = 1,035.79 × 585.07
  4. Step 4: Simplify right side
    750.92x = 606,011.43
  5. Step 5: Solve for x
    x = 606,011.43/750.92
  6. Step 6: Final answer
    x = 807.02

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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.