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Finding the Fourth Proportional to 1,355.36, 1,870.40 and 734.36

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Solution

The fourth proportional to 1,355.36, 1,870.40 and 734.36 is: 1,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.36 : 1,870.40 = 734.36 : x
  2. Step 2: Convert to fraction form
    1,355.36/1,870.40 = 734.36/x
  3. Step 3: Cross multiply
    1,355.36x = 1,870.40 × 734.36
  4. Step 4: Simplify right side
    1,355.36x = 1,373,546.94
  5. Step 5: Solve for x
    x = 1,373,546.94/1,355.36
  6. Step 6: Final answer
    x = 1,013.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.