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Finding the Fourth Proportional to 1,085.50, 1,628.12 and 355.60

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Solution

The fourth proportional to 1,085.50, 1,628.12 and 355.60 is: 533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.50 : 1,628.12 = 355.60 : x
  2. Step 2: Convert to fraction form
    1,085.50/1,628.12 = 355.60/x
  3. Step 3: Cross multiply
    1,085.50x = 1,628.12 × 355.60
  4. Step 4: Simplify right side
    1,085.50x = 578,959.47
  5. Step 5: Solve for x
    x = 578,959.47/1,085.50
  6. Step 6: Final answer
    x = 533.36

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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.