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Finding the Fourth Proportional to 1,415.14, 1,952.88 and 785.70

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Solution

The fourth proportional to 1,415.14, 1,952.88 and 785.70 is: 1,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.14 : 1,952.88 = 785.70 : x
  2. Step 2: Convert to fraction form
    1,415.14/1,952.88 = 785.70/x
  3. Step 3: Cross multiply
    1,415.14x = 1,952.88 × 785.70
  4. Step 4: Simplify right side
    1,415.14x = 1,534,377.82
  5. Step 5: Solve for x
    x = 1,534,377.82/1,415.14
  6. Step 6: Final answer
    x = 1,084.26

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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.