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Finding the Fourth Proportional to 1,055.82, 1,582.35 and 730.50

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Solution

The fourth proportional to 1,055.82, 1,582.35 and 730.50 is: 1,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.82 : 1,582.35 = 730.50 : x
  2. Step 2: Convert to fraction form
    1,055.82/1,582.35 = 730.50/x
  3. Step 3: Cross multiply
    1,055.82x = 1,582.35 × 730.50
  4. Step 4: Simplify right side
    1,055.82x = 1,155,906.68
  5. Step 5: Solve for x
    x = 1,155,906.68/1,055.82
  6. Step 6: Final answer
    x = 1,094.80

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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.