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Finding the Fourth Proportional to 1,345.83, 2,019.03 and 421.32

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Solution

The fourth proportional to 1,345.83, 2,019.03 and 421.32 is: 632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.83 : 2,019.03 = 421.32 : x
  2. Step 2: Convert to fraction form
    1,345.83/2,019.03 = 421.32/x
  3. Step 3: Cross multiply
    1,345.83x = 2,019.03 × 421.32
  4. Step 4: Simplify right side
    1,345.83x = 850,657.72
  5. Step 5: Solve for x
    x = 850,657.72/1,345.83
  6. Step 6: Final answer
    x = 632.07

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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.