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Finding the Fourth Proportional to 1,569.84, 2,354.56 and 415.68

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Solution

The fourth proportional to 1,569.84, 2,354.56 and 415.68 is: 623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.84 : 2,354.56 = 415.68 : x
  2. Step 2: Convert to fraction form
    1,569.84/2,354.56 = 415.68/x
  3. Step 3: Cross multiply
    1,569.84x = 2,354.56 × 415.68
  4. Step 4: Simplify right side
    1,569.84x = 978,743.50
  5. Step 5: Solve for x
    x = 978,743.50/1,569.84
  6. Step 6: Final answer
    x = 623.47

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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.