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Finding the Fourth Proportional to 1,416.34, 1,954.47 and 786.86

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Solution

The fourth proportional to 1,416.34, 1,954.47 and 786.86 is: 1,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.34 : 1,954.47 = 786.86 : x
  2. Step 2: Convert to fraction form
    1,416.34/1,954.47 = 786.86/x
  3. Step 3: Cross multiply
    1,416.34x = 1,954.47 × 786.86
  4. Step 4: Simplify right side
    1,416.34x = 1,537,894.26
  5. Step 5: Solve for x
    x = 1,537,894.26/1,416.34
  6. Step 6: Final answer
    x = 1,085.82

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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.