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Finding the Fourth Proportional to 1,346.07, 1,858.08 and 880.32

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Solution

The fourth proportional to 1,346.07, 1,858.08 and 880.32 is: 1,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.07 : 1,858.08 = 880.32 : x
  2. Step 2: Convert to fraction form
    1,346.07/1,858.08 = 880.32/x
  3. Step 3: Cross multiply
    1,346.07x = 1,858.08 × 880.32
  4. Step 4: Simplify right side
    1,346.07x = 1,635,704.99
  5. Step 5: Solve for x
    x = 1,635,704.99/1,346.07
  6. Step 6: Final answer
    x = 1,215.17

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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.