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Finding the Fourth Proportional to 1,403.93, 2,106.20 and 430.11

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Solution

The fourth proportional to 1,403.93, 2,106.20 and 430.11 is: 645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.93 : 2,106.20 = 430.11 : x
  2. Step 2: Convert to fraction form
    1,403.93/2,106.20 = 430.11/x
  3. Step 3: Cross multiply
    1,403.93x = 2,106.20 × 430.11
  4. Step 4: Simplify right side
    1,403.93x = 905,897.68
  5. Step 5: Solve for x
    x = 905,897.68/1,403.93
  6. Step 6: Final answer
    x = 645.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.