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Finding the Fourth Proportional to 1,085.20, 1,497.48 and 643.10

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Solution

The fourth proportional to 1,085.20, 1,497.48 and 643.10 is: 887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.20 : 1,497.48 = 643.10 : x
  2. Step 2: Convert to fraction form
    1,085.20/1,497.48 = 643.10/x
  3. Step 3: Cross multiply
    1,085.20x = 1,497.48 × 643.10
  4. Step 4: Simplify right side
    1,085.20x = 963,029.39
  5. Step 5: Solve for x
    x = 963,029.39/1,085.20
  6. Step 6: Final answer
    x = 887.42

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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.