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Finding the Fourth Proportional to 1,355.53, 1,870.64 and 734.53

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Solution

The fourth proportional to 1,355.53, 1,870.64 and 734.53 is: 1,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.53 : 1,870.64 = 734.53 : x
  2. Step 2: Convert to fraction form
    1,355.53/1,870.64 = 734.53/x
  3. Step 3: Cross multiply
    1,355.53x = 1,870.64 × 734.53
  4. Step 4: Simplify right side
    1,355.53x = 1,374,039.86
  5. Step 5: Solve for x
    x = 1,374,039.86/1,355.53
  6. Step 6: Final answer
    x = 1,013.65

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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.