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Finding the Fourth Proportional to 1,166.69, 1,749.93 and 473.54

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Solution

The fourth proportional to 1,166.69, 1,749.93 and 473.54 is: 710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.69 : 1,749.93 = 473.54 : x
  2. Step 2: Convert to fraction form
    1,166.69/1,749.93 = 473.54/x
  3. Step 3: Cross multiply
    1,166.69x = 1,749.93 × 473.54
  4. Step 4: Simplify right side
    1,166.69x = 828,653.10
  5. Step 5: Solve for x
    x = 828,653.10/1,166.69
  6. Step 6: Final answer
    x = 710.26

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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.