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Finding the Fourth Proportional to 1,085.36, 1,497.24 and 643.08

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Solution

The fourth proportional to 1,085.36, 1,497.24 and 643.08 is: 887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.36 : 1,497.24 = 643.08 : x
  2. Step 2: Convert to fraction form
    1,085.36/1,497.24 = 643.08/x
  3. Step 3: Cross multiply
    1,085.36x = 1,497.24 × 643.08
  4. Step 4: Simplify right side
    1,085.36x = 962,845.10
  5. Step 5: Solve for x
    x = 962,845.10/1,085.36
  6. Step 6: Final answer
    x = 887.12

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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.