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Finding the Fourth Proportional to 1,231.04, 1,698.48 and 1,064

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Solution

The fourth proportional to 1,231.04, 1,698.48 and 1,064 is: 1,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.04 : 1,698.48 = 1,064 : x
  2. Step 2: Convert to fraction form
    1,231.04/1,698.48 = 1,064/x
  3. Step 3: Cross multiply
    1,231.04x = 1,698.48 × 1,064
  4. Step 4: Simplify right side
    1,231.04x = 1,807,182.72
  5. Step 5: Solve for x
    x = 1,807,182.72/1,231.04
  6. Step 6: Final answer
    x = 1,468.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.