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Finding the Fourth Proportional to 1,577.18, 2,365.75 and 710.88

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Solution

The fourth proportional to 1,577.18, 2,365.75 and 710.88 is: 1,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.18 : 2,365.75 = 710.88 : x
  2. Step 2: Convert to fraction form
    1,577.18/2,365.75 = 710.88/x
  3. Step 3: Cross multiply
    1,577.18x = 2,365.75 × 710.88
  4. Step 4: Simplify right side
    1,577.18x = 1,681,764.36
  5. Step 5: Solve for x
    x = 1,681,764.36/1,577.18
  6. Step 6: Final answer
    x = 1,066.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.