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Finding the Fourth Proportional to 1,569.88, 2,354.86 and 415.63

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Solution

The fourth proportional to 1,569.88, 2,354.86 and 415.63 is: 623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.88 : 2,354.86 = 415.63 : x
  2. Step 2: Convert to fraction form
    1,569.88/2,354.86 = 415.63/x
  3. Step 3: Cross multiply
    1,569.88x = 2,354.86 × 415.63
  4. Step 4: Simplify right side
    1,569.88x = 978,737.65
  5. Step 5: Solve for x
    x = 978,737.65/1,569.88
  6. Step 6: Final answer
    x = 623.45

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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.