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Finding the Fourth Proportional to 929.60, 1,393.46 and 583.18

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Solution

The fourth proportional to 929.60, 1,393.46 and 583.18 is: 874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.60 : 1,393.46 = 583.18 : x
  2. Step 2: Convert to fraction form
    929.60/1,393.46 = 583.18/x
  3. Step 3: Cross multiply
    929.60x = 1,393.46 × 583.18
  4. Step 4: Simplify right side
    929.60x = 812,636.25
  5. Step 5: Solve for x
    x = 812,636.25/929.60
  6. Step 6: Final answer
    x = 874.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.