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Finding the Fourth Proportional to 929.63, 1,283.27 and 598.16

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Solution

The fourth proportional to 929.63, 1,283.27 and 598.16 is: 825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.63 : 1,283.27 = 598.16 : x
  2. Step 2: Convert to fraction form
    929.63/1,283.27 = 598.16/x
  3. Step 3: Cross multiply
    929.63x = 1,283.27 × 598.16
  4. Step 4: Simplify right side
    929.63x = 767,599.07
  5. Step 5: Solve for x
    x = 767,599.07/929.63
  6. Step 6: Final answer
    x = 825.71

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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.