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Finding the Fourth Proportional to 583.80, 879.78 and 526.08

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Solution

The fourth proportional to 583.80, 879.78 and 526.08 is: 792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.80 : 879.78 = 526.08 : x
  2. Step 2: Convert to fraction form
    583.80/879.78 = 526.08/x
  3. Step 3: Cross multiply
    583.80x = 879.78 × 526.08
  4. Step 4: Simplify right side
    583.80x = 462,834.66
  5. Step 5: Solve for x
    x = 462,834.66/583.80
  6. Step 6: Final answer
    x = 792.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.