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Finding the Fourth Proportional to 741.72, 1,111.32 and 524.94

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Solution

The fourth proportional to 741.72, 1,111.32 and 524.94 is: 786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.72 : 1,111.32 = 524.94 : x
  2. Step 2: Convert to fraction form
    741.72/1,111.32 = 524.94/x
  3. Step 3: Cross multiply
    741.72x = 1,111.32 × 524.94
  4. Step 4: Simplify right side
    741.72x = 583,376.32
  5. Step 5: Solve for x
    x = 583,376.32/741.72
  6. Step 6: Final answer
    x = 786.52

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Why These Related Problems?

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