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Finding the Fourth Proportional to 903.92, 1,247.38 and 510.94

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Solution

The fourth proportional to 903.92, 1,247.38 and 510.94 is: 705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.92 : 1,247.38 = 510.94 : x
  2. Step 2: Convert to fraction form
    903.92/1,247.38 = 510.94/x
  3. Step 3: Cross multiply
    903.92x = 1,247.38 × 510.94
  4. Step 4: Simplify right side
    903.92x = 637,331.94
  5. Step 5: Solve for x
    x = 637,331.94/903.92
  6. Step 6: Final answer
    x = 705.07

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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.