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Finding the Fourth Proportional to 759.03, 1,138.51 and 586.77

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Solution

The fourth proportional to 759.03, 1,138.51 and 586.77 is: 880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.03 : 1,138.51 = 586.77 : x
  2. Step 2: Convert to fraction form
    759.03/1,138.51 = 586.77/x
  3. Step 3: Cross multiply
    759.03x = 1,138.51 × 586.77
  4. Step 4: Simplify right side
    759.03x = 668,043.51
  5. Step 5: Solve for x
    x = 668,043.51/759.03
  6. Step 6: Final answer
    x = 880.13

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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.