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Finding the Fourth Proportional to 1,077.55, 1,486.50 and 704.55

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Solution

The fourth proportional to 1,077.55, 1,486.50 and 704.55 is: 971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.55 : 1,486.50 = 704.55 : x
  2. Step 2: Convert to fraction form
    1,077.55/1,486.50 = 704.55/x
  3. Step 3: Cross multiply
    1,077.55x = 1,486.50 × 704.55
  4. Step 4: Simplify right side
    1,077.55x = 1,047,305.36
  5. Step 5: Solve for x
    x = 1,047,305.36/1,077.55
  6. Step 6: Final answer
    x = 971.93

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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.