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Finding the Fourth Proportional to 1,405.40, 2,106.60 and 583.88

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Solution

The fourth proportional to 1,405.40, 2,106.60 and 583.88 is: 875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.40 : 2,106.60 = 583.88 : x
  2. Step 2: Convert to fraction form
    1,405.40/2,106.60 = 583.88/x
  3. Step 3: Cross multiply
    1,405.40x = 2,106.60 × 583.88
  4. Step 4: Simplify right side
    1,405.40x = 1,230,001.61
  5. Step 5: Solve for x
    x = 1,230,001.61/1,405.40
  6. Step 6: Final answer
    x = 875.20

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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.