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Finding the Fourth Proportional to 1,051.72, 1,570.41 and 941.32

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Solution

The fourth proportional to 1,051.72, 1,570.41 and 941.32 is: 1,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.72 : 1,570.41 = 941.32 : x
  2. Step 2: Convert to fraction form
    1,051.72/1,570.41 = 941.32/x
  3. Step 3: Cross multiply
    1,051.72x = 1,570.41 × 941.32
  4. Step 4: Simplify right side
    1,051.72x = 1,478,258.34
  5. Step 5: Solve for x
    x = 1,478,258.34/1,051.72
  6. Step 6: Final answer
    x = 1,405.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.