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Finding the Fourth Proportional to 1,415.03, 1,952.73 and 785.65

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Solution

The fourth proportional to 1,415.03, 1,952.73 and 785.65 is: 1,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.03 : 1,952.73 = 785.65 : x
  2. Step 2: Convert to fraction form
    1,415.03/1,952.73 = 785.65/x
  3. Step 3: Cross multiply
    1,415.03x = 1,952.73 × 785.65
  4. Step 4: Simplify right side
    1,415.03x = 1,534,162.32
  5. Step 5: Solve for x
    x = 1,534,162.32/1,415.03
  6. Step 6: Final answer
    x = 1,084.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.