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Finding the Fourth Proportional to 1,542.42, 2,312.89 and 446.49

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Solution

The fourth proportional to 1,542.42, 2,312.89 and 446.49 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.42 : 2,312.89 = 446.49 : x
  2. Step 2: Convert to fraction form
    1,542.42/2,312.89 = 446.49/x
  3. Step 3: Cross multiply
    1,542.42x = 2,312.89 × 446.49
  4. Step 4: Simplify right side
    1,542.42x = 1,032,681.14
  5. Step 5: Solve for x
    x = 1,032,681.14/1,542.42
  6. Step 6: Final answer
    x = 669.52

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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.