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Finding the Fourth Proportional to 1,416.83, 2,125.67 and 636.65

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Solution

The fourth proportional to 1,416.83, 2,125.67 and 636.65 is: 955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.83 : 2,125.67 = 636.65 : x
  2. Step 2: Convert to fraction form
    1,416.83/2,125.67 = 636.65/x
  3. Step 3: Cross multiply
    1,416.83x = 2,125.67 × 636.65
  4. Step 4: Simplify right side
    1,416.83x = 1,353,307.81
  5. Step 5: Solve for x
    x = 1,353,307.81/1,416.83
  6. Step 6: Final answer
    x = 955.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.