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Finding the Fourth Proportional to 929.84, 1,283.44 and 557.06

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Solution

The fourth proportional to 929.84, 1,283.44 and 557.06 is: 768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.84 : 1,283.44 = 557.06 : x
  2. Step 2: Convert to fraction form
    929.84/1,283.44 = 557.06/x
  3. Step 3: Cross multiply
    929.84x = 1,283.44 × 557.06
  4. Step 4: Simplify right side
    929.84x = 714,953.09
  5. Step 5: Solve for x
    x = 714,953.09/929.84
  6. Step 6: Final answer
    x = 768.90

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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.