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Finding the Fourth Proportional to 1,054.56, 1,582.65 and 397.02

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Solution

The fourth proportional to 1,054.56, 1,582.65 and 397.02 is: 595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.56 : 1,582.65 = 397.02 : x
  2. Step 2: Convert to fraction form
    1,054.56/1,582.65 = 397.02/x
  3. Step 3: Cross multiply
    1,054.56x = 1,582.65 × 397.02
  4. Step 4: Simplify right side
    1,054.56x = 628,343.70
  5. Step 5: Solve for x
    x = 628,343.70/1,054.56
  6. Step 6: Final answer
    x = 595.83

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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.