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Finding the Fourth Proportional to 1,684.65, 2,526.98 and 514.65

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Solution

The fourth proportional to 1,684.65, 2,526.98 and 514.65 is: 771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.65 : 2,526.98 = 514.65 : x
  2. Step 2: Convert to fraction form
    1,684.65/2,526.98 = 514.65/x
  3. Step 3: Cross multiply
    1,684.65x = 2,526.98 × 514.65
  4. Step 4: Simplify right side
    1,684.65x = 1,300,510.26
  5. Step 5: Solve for x
    x = 1,300,510.26/1,684.65
  6. Step 6: Final answer
    x = 771.98

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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.