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Finding the Fourth Proportional to 1,357.65, 1,871.73 and 860.04

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Solution

The fourth proportional to 1,357.65, 1,871.73 and 860.04 is: 1,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.65 : 1,871.73 = 860.04 : x
  2. Step 2: Convert to fraction form
    1,357.65/1,871.73 = 860.04/x
  3. Step 3: Cross multiply
    1,357.65x = 1,871.73 × 860.04
  4. Step 4: Simplify right side
    1,357.65x = 1,609,762.67
  5. Step 5: Solve for x
    x = 1,609,762.67/1,357.65
  6. Step 6: Final answer
    x = 1,185.70

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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.