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Finding the Fourth Proportional to 1,435.34, 2,154.02 and 510.93

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Solution

The fourth proportional to 1,435.34, 2,154.02 and 510.93 is: 766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.34 : 2,154.02 = 510.93 : x
  2. Step 2: Convert to fraction form
    1,435.34/2,154.02 = 510.93/x
  3. Step 3: Cross multiply
    1,435.34x = 2,154.02 × 510.93
  4. Step 4: Simplify right side
    1,435.34x = 1,100,550.88
  5. Step 5: Solve for x
    x = 1,100,550.88/1,435.34
  6. Step 6: Final answer
    x = 766.76

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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.