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Finding the Fourth Proportional to 1,535.69, 2,303.94 and 805.07

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Solution

The fourth proportional to 1,535.69, 2,303.94 and 805.07 is: 1,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.69 : 2,303.94 = 805.07 : x
  2. Step 2: Convert to fraction form
    1,535.69/2,303.94 = 805.07/x
  3. Step 3: Cross multiply
    1,535.69x = 2,303.94 × 805.07
  4. Step 4: Simplify right side
    1,535.69x = 1,854,841.75
  5. Step 5: Solve for x
    x = 1,854,841.75/1,535.69
  6. Step 6: Final answer
    x = 1,207.82

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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.