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Finding the Fourth Proportional to 926.58, 1,278.70 and 528.16

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Solution

The fourth proportional to 926.58, 1,278.70 and 528.16 is: 728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.58 : 1,278.70 = 528.16 : x
  2. Step 2: Convert to fraction form
    926.58/1,278.70 = 528.16/x
  3. Step 3: Cross multiply
    926.58x = 1,278.70 × 528.16
  4. Step 4: Simplify right side
    926.58x = 675,358.19
  5. Step 5: Solve for x
    x = 675,358.19/926.58
  6. Step 6: Final answer
    x = 728.87

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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.