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Finding the Fourth Proportional to 903.84, 1,247.56 and 511.12

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Solution

The fourth proportional to 903.84, 1,247.56 and 511.12 is: 705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.84 : 1,247.56 = 511.12 : x
  2. Step 2: Convert to fraction form
    903.84/1,247.56 = 511.12/x
  3. Step 3: Cross multiply
    903.84x = 1,247.56 × 511.12
  4. Step 4: Simplify right side
    903.84x = 637,652.87
  5. Step 5: Solve for x
    x = 637,652.87/903.84
  6. Step 6: Final answer
    x = 705.49

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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.