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Finding the Fourth Proportional to 1,047.51, 1,577.36 and 775.53

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Solution

The fourth proportional to 1,047.51, 1,577.36 and 775.53 is: 1,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.51 : 1,577.36 = 775.53 : x
  2. Step 2: Convert to fraction form
    1,047.51/1,577.36 = 775.53/x
  3. Step 3: Cross multiply
    1,047.51x = 1,577.36 × 775.53
  4. Step 4: Simplify right side
    1,047.51x = 1,223,286.12
  5. Step 5: Solve for x
    x = 1,223,286.12/1,047.51
  6. Step 6: Final answer
    x = 1,167.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.