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Finding the Fourth Proportional to 1,054.62, 1,581.93 and 765.18

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Solution

The fourth proportional to 1,054.62, 1,581.93 and 765.18 is: 1,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.62 : 1,581.93 = 765.18 : x
  2. Step 2: Convert to fraction form
    1,054.62/1,581.93 = 765.18/x
  3. Step 3: Cross multiply
    1,054.62x = 1,581.93 × 765.18
  4. Step 4: Simplify right side
    1,054.62x = 1,210,461.20
  5. Step 5: Solve for x
    x = 1,210,461.20/1,054.62
  6. Step 6: Final answer
    x = 1,147.77

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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.