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Finding the Fourth Proportional to 1,055.93, 1,584.26 and 398.02

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Solution

The fourth proportional to 1,055.93, 1,584.26 and 398.02 is: 597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.93 : 1,584.26 = 398.02 : x
  2. Step 2: Convert to fraction form
    1,055.93/1,584.26 = 398.02/x
  3. Step 3: Cross multiply
    1,055.93x = 1,584.26 × 398.02
  4. Step 4: Simplify right side
    1,055.93x = 630,567.17
  5. Step 5: Solve for x
    x = 630,567.17/1,055.93
  6. Step 6: Final answer
    x = 597.17

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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.