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Finding the Fourth Proportional to 1,759.29, 2,639.38 and 526.70

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Solution

The fourth proportional to 1,759.29, 2,639.38 and 526.70 is: 790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.29 : 2,639.38 = 526.70 : x
  2. Step 2: Convert to fraction form
    1,759.29/2,639.38 = 526.70/x
  3. Step 3: Cross multiply
    1,759.29x = 2,639.38 × 526.70
  4. Step 4: Simplify right side
    1,759.29x = 1,390,148.25
  5. Step 5: Solve for x
    x = 1,390,148.25/1,759.29
  6. Step 6: Final answer
    x = 790.18

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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.