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Finding the Fourth Proportional to 1,415.17, 1,952.94 and 785.70

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Solution

The fourth proportional to 1,415.17, 1,952.94 and 785.70 is: 1,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.17 : 1,952.94 = 785.70 : x
  2. Step 2: Convert to fraction form
    1,415.17/1,952.94 = 785.70/x
  3. Step 3: Cross multiply
    1,415.17x = 1,952.94 × 785.70
  4. Step 4: Simplify right side
    1,415.17x = 1,534,421.28
  5. Step 5: Solve for x
    x = 1,534,421.28/1,415.17
  6. Step 6: Final answer
    x = 1,084.27

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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.