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Finding the Fourth Proportional to 794.02, 1,095.16 and 584.13

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Solution

The fourth proportional to 794.02, 1,095.16 and 584.13 is: 805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.02 : 1,095.16 = 584.13 : x
  2. Step 2: Convert to fraction form
    794.02/1,095.16 = 584.13/x
  3. Step 3: Cross multiply
    794.02x = 1,095.16 × 584.13
  4. Step 4: Simplify right side
    794.02x = 639,715.81
  5. Step 5: Solve for x
    x = 639,715.81/794.02
  6. Step 6: Final answer
    x = 805.67

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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.