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Finding the Fourth Proportional to 1,156.48, 1,733.76 and 771.84

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Solution

The fourth proportional to 1,156.48, 1,733.76 and 771.84 is: 1,157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.48 : 1,733.76 = 771.84 : x
  2. Step 2: Convert to fraction form
    1,156.48/1,733.76 = 771.84/x
  3. Step 3: Cross multiply
    1,156.48x = 1,733.76 × 771.84
  4. Step 4: Simplify right side
    1,156.48x = 1,338,185.32
  5. Step 5: Solve for x
    x = 1,338,185.32/1,156.48
  6. Step 6: Final answer
    x = 1,157.12

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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.