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Finding the Fourth Proportional to 917.01, 1,375.53 and 734.16

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Solution

The fourth proportional to 917.01, 1,375.53 and 734.16 is: 1,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.01 : 1,375.53 = 734.16 : x
  2. Step 2: Convert to fraction form
    917.01/1,375.53 = 734.16/x
  3. Step 3: Cross multiply
    917.01x = 1,375.53 × 734.16
  4. Step 4: Simplify right side
    917.01x = 1,009,859.10
  5. Step 5: Solve for x
    x = 1,009,859.10/917.01
  6. Step 6: Final answer
    x = 1,101.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.