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Finding the Fourth Proportional to 1,641.63, 2,462.69 and 530.67

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Solution

The fourth proportional to 1,641.63, 2,462.69 and 530.67 is: 796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.63 : 2,462.69 = 530.67 : x
  2. Step 2: Convert to fraction form
    1,641.63/2,462.69 = 530.67/x
  3. Step 3: Cross multiply
    1,641.63x = 2,462.69 × 530.67
  4. Step 4: Simplify right side
    1,641.63x = 1,306,875.70
  5. Step 5: Solve for x
    x = 1,306,875.70/1,641.63
  6. Step 6: Final answer
    x = 796.08

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Why These Related Problems?

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