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Finding the Fourth Proportional to 1,054.12, 1,581.55 and 469.54

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Solution

The fourth proportional to 1,054.12, 1,581.55 and 469.54 is: 704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.12 : 1,581.55 = 469.54 : x
  2. Step 2: Convert to fraction form
    1,054.12/1,581.55 = 469.54/x
  3. Step 3: Cross multiply
    1,054.12x = 1,581.55 × 469.54
  4. Step 4: Simplify right side
    1,054.12x = 742,598.66
  5. Step 5: Solve for x
    x = 742,598.66/1,054.12
  6. Step 6: Final answer
    x = 704.47

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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.