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Finding the Fourth Proportional to 1,085.48, 1,628.28 and 436.14

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Solution

The fourth proportional to 1,085.48, 1,628.28 and 436.14 is: 654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.48 : 1,628.28 = 436.14 : x
  2. Step 2: Convert to fraction form
    1,085.48/1,628.28 = 436.14/x
  3. Step 3: Cross multiply
    1,085.48x = 1,628.28 × 436.14
  4. Step 4: Simplify right side
    1,085.48x = 710,158.04
  5. Step 5: Solve for x
    x = 710,158.04/1,085.48
  6. Step 6: Final answer
    x = 654.23

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Why These Related Problems?

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