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Finding the Fourth Proportional to 1,405.47, 1,939.57 and 776.03

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Solution

The fourth proportional to 1,405.47, 1,939.57 and 776.03 is: 1,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.47 : 1,939.57 = 776.03 : x
  2. Step 2: Convert to fraction form
    1,405.47/1,939.57 = 776.03/x
  3. Step 3: Cross multiply
    1,405.47x = 1,939.57 × 776.03
  4. Step 4: Simplify right side
    1,405.47x = 1,505,164.51
  5. Step 5: Solve for x
    x = 1,505,164.51/1,405.47
  6. Step 6: Final answer
    x = 1,070.93

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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.