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Finding the Fourth Proportional to 1,464.84, 2,197.53 and 424.80

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Solution

The fourth proportional to 1,464.84, 2,197.53 and 424.80 is: 637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.84 : 2,197.53 = 424.80 : x
  2. Step 2: Convert to fraction form
    1,464.84/2,197.53 = 424.80/x
  3. Step 3: Cross multiply
    1,464.84x = 2,197.53 × 424.80
  4. Step 4: Simplify right side
    1,464.84x = 933,510.74
  5. Step 5: Solve for x
    x = 933,510.74/1,464.84
  6. Step 6: Final answer
    x = 637.28

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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.