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Finding the Fourth Proportional to 1,387.65, 1,914.78 and 790.23

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Solution

The fourth proportional to 1,387.65, 1,914.78 and 790.23 is: 1,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.65 : 1,914.78 = 790.23 : x
  2. Step 2: Convert to fraction form
    1,387.65/1,914.78 = 790.23/x
  3. Step 3: Cross multiply
    1,387.65x = 1,914.78 × 790.23
  4. Step 4: Simplify right side
    1,387.65x = 1,513,109.00
  5. Step 5: Solve for x
    x = 1,513,109.00/1,387.65
  6. Step 6: Final answer
    x = 1,090.41

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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.