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Finding the Fourth Proportional to 719.06, 1,085.06 and 693.32

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Solution

The fourth proportional to 719.06, 1,085.06 and 693.32 is: 1,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.06 : 1,085.06 = 693.32 : x
  2. Step 2: Convert to fraction form
    719.06/1,085.06 = 693.32/x
  3. Step 3: Cross multiply
    719.06x = 1,085.06 × 693.32
  4. Step 4: Simplify right side
    719.06x = 752,290.11
  5. Step 5: Solve for x
    x = 752,290.11/719.06
  6. Step 6: Final answer
    x = 1,046.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.