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Finding the Fourth Proportional to 1,288.41, 1,931.85 and 507.49

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Solution

The fourth proportional to 1,288.41, 1,931.85 and 507.49 is: 760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.41 : 1,931.85 = 507.49 : x
  2. Step 2: Convert to fraction form
    1,288.41/1,931.85 = 507.49/x
  3. Step 3: Cross multiply
    1,288.41x = 1,931.85 × 507.49
  4. Step 4: Simplify right side
    1,288.41x = 980,395.16
  5. Step 5: Solve for x
    x = 980,395.16/1,288.41
  6. Step 6: Final answer
    x = 760.94

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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.