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Finding the Fourth Proportional to 1,260.31, 1,888.54 and 529.49

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Solution

The fourth proportional to 1,260.31, 1,888.54 and 529.49 is: 793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.31 : 1,888.54 = 529.49 : x
  2. Step 2: Convert to fraction form
    1,260.31/1,888.54 = 529.49/x
  3. Step 3: Cross multiply
    1,260.31x = 1,888.54 × 529.49
  4. Step 4: Simplify right side
    1,260.31x = 999,953.60
  5. Step 5: Solve for x
    x = 999,953.60/1,260.31
  6. Step 6: Final answer
    x = 793.42

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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.