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Finding the Fourth Proportional to 1,055.36, 1,580.16 and 689.24

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Solution

The fourth proportional to 1,055.36, 1,580.16 and 689.24 is: 1,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.36 : 1,580.16 = 689.24 : x
  2. Step 2: Convert to fraction form
    1,055.36/1,580.16 = 689.24/x
  3. Step 3: Cross multiply
    1,055.36x = 1,580.16 × 689.24
  4. Step 4: Simplify right side
    1,055.36x = 1,089,109.48
  5. Step 5: Solve for x
    x = 1,089,109.48/1,055.36
  6. Step 6: Final answer
    x = 1,031.98

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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.