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Finding the Fourth Proportional to 1,415.29, 1,953.10 and 785.83

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Solution

The fourth proportional to 1,415.29, 1,953.10 and 785.83 is: 1,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.29 : 1,953.10 = 785.83 : x
  2. Step 2: Convert to fraction form
    1,415.29/1,953.10 = 785.83/x
  3. Step 3: Cross multiply
    1,415.29x = 1,953.10 × 785.83
  4. Step 4: Simplify right side
    1,415.29x = 1,534,804.57
  5. Step 5: Solve for x
    x = 1,534,804.57/1,415.29
  6. Step 6: Final answer
    x = 1,084.45

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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.