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Finding the Fourth Proportional to 1,435.88, 2,153.46 and 558.08

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Solution

The fourth proportional to 1,435.88, 2,153.46 and 558.08 is: 836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.88 : 2,153.46 = 558.08 : x
  2. Step 2: Convert to fraction form
    1,435.88/2,153.46 = 558.08/x
  3. Step 3: Cross multiply
    1,435.88x = 2,153.46 × 558.08
  4. Step 4: Simplify right side
    1,435.88x = 1,201,802.96
  5. Step 5: Solve for x
    x = 1,201,802.96/1,435.88
  6. Step 6: Final answer
    x = 836.98

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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.