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Finding the Fourth Proportional to 1,085.24, 1,626.46 and 695.10

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Solution

The fourth proportional to 1,085.24, 1,626.46 and 695.10 is: 1,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.24 : 1,626.46 = 695.10 : x
  2. Step 2: Convert to fraction form
    1,085.24/1,626.46 = 695.10/x
  3. Step 3: Cross multiply
    1,085.24x = 1,626.46 × 695.10
  4. Step 4: Simplify right side
    1,085.24x = 1,130,552.35
  5. Step 5: Solve for x
    x = 1,130,552.35/1,085.24
  6. Step 6: Final answer
    x = 1,041.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.