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Finding the Fourth Proportional to 1,416.21, 1,954.34 and 786.74

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Solution

The fourth proportional to 1,416.21, 1,954.34 and 786.74 is: 1,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.21 : 1,954.34 = 786.74 : x
  2. Step 2: Convert to fraction form
    1,416.21/1,954.34 = 786.74/x
  3. Step 3: Cross multiply
    1,416.21x = 1,954.34 × 786.74
  4. Step 4: Simplify right side
    1,416.21x = 1,537,549.65
  5. Step 5: Solve for x
    x = 1,537,549.65/1,416.21
  6. Step 6: Final answer
    x = 1,085.68

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1.5x scale

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.