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Finding the Fourth Proportional to 738.61, 1,107.51 and 507.56

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Solution

The fourth proportional to 738.61, 1,107.51 and 507.56 is: 761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.61 : 1,107.51 = 507.56 : x
  2. Step 2: Convert to fraction form
    738.61/1,107.51 = 507.56/x
  3. Step 3: Cross multiply
    738.61x = 1,107.51 × 507.56
  4. Step 4: Simplify right side
    738.61x = 562,127.78
  5. Step 5: Solve for x
    x = 562,127.78/738.61
  6. Step 6: Final answer
    x = 761.06

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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.