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Finding the Fourth Proportional to 795.06, 1,193.60 and 580.01

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Solution

The fourth proportional to 795.06, 1,193.60 and 580.01 is: 870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.06 : 1,193.60 = 580.01 : x
  2. Step 2: Convert to fraction form
    795.06/1,193.60 = 580.01/x
  3. Step 3: Cross multiply
    795.06x = 1,193.60 × 580.01
  4. Step 4: Simplify right side
    795.06x = 692,295.42
  5. Step 5: Solve for x
    x = 692,295.42/795.06
  6. Step 6: Final answer
    x = 870.75

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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.