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Finding the Fourth Proportional to 1,435.23, 2,153.05 and 510.70

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Solution

The fourth proportional to 1,435.23, 2,153.05 and 510.70 is: 766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.23 : 2,153.05 = 510.70 : x
  2. Step 2: Convert to fraction form
    1,435.23/2,153.05 = 510.70/x
  3. Step 3: Cross multiply
    1,435.23x = 2,153.05 × 510.70
  4. Step 4: Simplify right side
    1,435.23x = 1,099,562.64
  5. Step 5: Solve for x
    x = 1,099,562.64/1,435.23
  6. Step 6: Final answer
    x = 766.12

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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.