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Finding the Fourth Proportional to 1,355.32, 1,870.86 and 832.06

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Solution

The fourth proportional to 1,355.32, 1,870.86 and 832.06 is: 1,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.32 : 1,870.86 = 832.06 : x
  2. Step 2: Convert to fraction form
    1,355.32/1,870.86 = 832.06/x
  3. Step 3: Cross multiply
    1,355.32x = 1,870.86 × 832.06
  4. Step 4: Simplify right side
    1,355.32x = 1,556,667.77
  5. Step 5: Solve for x
    x = 1,556,667.77/1,355.32
  6. Step 6: Final answer
    x = 1,148.56

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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.