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Finding the Fourth Proportional to 1,166.64, 1,750.08 and 345.12

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Solution

The fourth proportional to 1,166.64, 1,750.08 and 345.12 is: 517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.64 : 1,750.08 = 345.12 : x
  2. Step 2: Convert to fraction form
    1,166.64/1,750.08 = 345.12/x
  3. Step 3: Cross multiply
    1,166.64x = 1,750.08 × 345.12
  4. Step 4: Simplify right side
    1,166.64x = 603,987.61
  5. Step 5: Solve for x
    x = 603,987.61/1,166.64
  6. Step 6: Final answer
    x = 517.72

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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.