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Finding the Fourth Proportional to 1,156.80, 1,597.02 and 764.51

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Solution

The fourth proportional to 1,156.80, 1,597.02 and 764.51 is: 1,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.80 : 1,597.02 = 764.51 : x
  2. Step 2: Convert to fraction form
    1,156.80/1,597.02 = 764.51/x
  3. Step 3: Cross multiply
    1,156.80x = 1,597.02 × 764.51
  4. Step 4: Simplify right side
    1,156.80x = 1,220,937.76
  5. Step 5: Solve for x
    x = 1,220,937.76/1,156.80
  6. Step 6: Final answer
    x = 1,055.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.