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Finding the Fourth Proportional to 1,404.41, 2,106.93 and 430.60

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Solution

The fourth proportional to 1,404.41, 2,106.93 and 430.60 is: 646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.41 : 2,106.93 = 430.60 : x
  2. Step 2: Convert to fraction form
    1,404.41/2,106.93 = 430.60/x
  3. Step 3: Cross multiply
    1,404.41x = 2,106.93 × 430.60
  4. Step 4: Simplify right side
    1,404.41x = 907,244.06
  5. Step 5: Solve for x
    x = 907,244.06/1,404.41
  6. Step 6: Final answer
    x = 646.00

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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.