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Finding the Fourth Proportional to 929.51, 1,283.60 and 598.52

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Solution

The fourth proportional to 929.51, 1,283.60 and 598.52 is: 826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.51 : 1,283.60 = 598.52 : x
  2. Step 2: Convert to fraction form
    929.51/1,283.60 = 598.52/x
  3. Step 3: Cross multiply
    929.51x = 1,283.60 × 598.52
  4. Step 4: Simplify right side
    929.51x = 768,250.86
  5. Step 5: Solve for x
    x = 768,250.86/929.51
  6. Step 6: Final answer
    x = 826.51

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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.