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Finding the Fourth Proportional to 1,054.88, 1,582.40 and 405.62

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Solution

The fourth proportional to 1,054.88, 1,582.40 and 405.62 is: 608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.88 : 1,582.40 = 405.62 : x
  2. Step 2: Convert to fraction form
    1,054.88/1,582.40 = 405.62/x
  3. Step 3: Cross multiply
    1,054.88x = 1,582.40 × 405.62
  4. Step 4: Simplify right side
    1,054.88x = 641,849.64
  5. Step 5: Solve for x
    x = 641,849.64/1,054.88
  6. Step 6: Final answer
    x = 608.46

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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.