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Finding the Fourth Proportional to 1,399.45, 1,931.40 and 840.10

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Solution

The fourth proportional to 1,399.45, 1,931.40 and 840.10 is: 1,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.45 : 1,931.40 = 840.10 : x
  2. Step 2: Convert to fraction form
    1,399.45/1,931.40 = 840.10/x
  3. Step 3: Cross multiply
    1,399.45x = 1,931.40 × 840.10
  4. Step 4: Simplify right side
    1,399.45x = 1,622,569.14
  5. Step 5: Solve for x
    x = 1,622,569.14/1,399.45
  6. Step 6: Final answer
    x = 1,159.43

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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.