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Finding the Fourth Proportional to 734.07, 1,012.71 and 537.24

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Solution

The fourth proportional to 734.07, 1,012.71 and 537.24 is: 741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.07 : 1,012.71 = 537.24 : x
  2. Step 2: Convert to fraction form
    734.07/1,012.71 = 537.24/x
  3. Step 3: Cross multiply
    734.07x = 1,012.71 × 537.24
  4. Step 4: Simplify right side
    734.07x = 544,068.32
  5. Step 5: Solve for x
    x = 544,068.32/734.07
  6. Step 6: Final answer
    x = 741.17

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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.