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Finding the Fourth Proportional to 1,577.77, 2,365.98 and 700.27

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Solution

The fourth proportional to 1,577.77, 2,365.98 and 700.27 is: 1,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.77 : 2,365.98 = 700.27 : x
  2. Step 2: Convert to fraction form
    1,577.77/2,365.98 = 700.27/x
  3. Step 3: Cross multiply
    1,577.77x = 2,365.98 × 700.27
  4. Step 4: Simplify right side
    1,577.77x = 1,656,824.81
  5. Step 5: Solve for x
    x = 1,656,824.81/1,577.77
  6. Step 6: Final answer
    x = 1,050.11

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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.