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Finding the Fourth Proportional to 1,085.07, 1,627.80 and 354.45

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Solution

The fourth proportional to 1,085.07, 1,627.80 and 354.45 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.07 : 1,627.80 = 354.45 : x
  2. Step 2: Convert to fraction form
    1,085.07/1,627.80 = 354.45/x
  3. Step 3: Cross multiply
    1,085.07x = 1,627.80 × 354.45
  4. Step 4: Simplify right side
    1,085.07x = 576,973.71
  5. Step 5: Solve for x
    x = 576,973.71/1,085.07
  6. Step 6: Final answer
    x = 531.74

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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.