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Finding the Fourth Proportional to 1,054.23, 1,580.78 and 351.13

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Solution

The fourth proportional to 1,054.23, 1,580.78 and 351.13 is: 526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.23 : 1,580.78 = 351.13 : x
  2. Step 2: Convert to fraction form
    1,054.23/1,580.78 = 351.13/x
  3. Step 3: Cross multiply
    1,054.23x = 1,580.78 × 351.13
  4. Step 4: Simplify right side
    1,054.23x = 555,059.28
  5. Step 5: Solve for x
    x = 555,059.28/1,054.23
  6. Step 6: Final answer
    x = 526.51

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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.