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Finding the Fourth Proportional to 1,054.89, 1,582.23 and 361.58

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Solution

The fourth proportional to 1,054.89, 1,582.23 and 361.58 is: 542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.89 : 1,582.23 = 361.58 : x
  2. Step 2: Convert to fraction form
    1,054.89/1,582.23 = 361.58/x
  3. Step 3: Cross multiply
    1,054.89x = 1,582.23 × 361.58
  4. Step 4: Simplify right side
    1,054.89x = 572,094.81
  5. Step 5: Solve for x
    x = 572,094.81/1,054.89
  6. Step 6: Final answer
    x = 542.33

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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.