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Finding the Fourth Proportional to 1,166.34, 1,750.08 and 473.34

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Solution

The fourth proportional to 1,166.34, 1,750.08 and 473.34 is: 710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.34 : 1,750.08 = 473.34 : x
  2. Step 2: Convert to fraction form
    1,166.34/1,750.08 = 473.34/x
  3. Step 3: Cross multiply
    1,166.34x = 1,750.08 × 473.34
  4. Step 4: Simplify right side
    1,166.34x = 828,382.87
  5. Step 5: Solve for x
    x = 828,382.87/1,166.34
  6. Step 6: Final answer
    x = 710.24

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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.