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Finding the Fourth Proportional to 780.53, 1,170.61 and 260.40

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Solution

The fourth proportional to 780.53, 1,170.61 and 260.40 is: 390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.53 : 1,170.61 = 260.40 : x
  2. Step 2: Convert to fraction form
    780.53/1,170.61 = 260.40/x
  3. Step 3: Cross multiply
    780.53x = 1,170.61 × 260.40
  4. Step 4: Simplify right side
    780.53x = 304,826.84
  5. Step 5: Solve for x
    x = 304,826.84/780.53
  6. Step 6: Final answer
    x = 390.54

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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.