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Finding the Fourth Proportional to 1,166.55, 1,748.07 and 703.82

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Solution

The fourth proportional to 1,166.55, 1,748.07 and 703.82 is: 1,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.55 : 1,748.07 = 703.82 : x
  2. Step 2: Convert to fraction form
    1,166.55/1,748.07 = 703.82/x
  3. Step 3: Cross multiply
    1,166.55x = 1,748.07 × 703.82
  4. Step 4: Simplify right side
    1,166.55x = 1,230,326.63
  5. Step 5: Solve for x
    x = 1,230,326.63/1,166.55
  6. Step 6: Final answer
    x = 1,054.67

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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.