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Finding the Fourth Proportional to 1,045.64, 1,568.24 and 305.25

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Solution

The fourth proportional to 1,045.64, 1,568.24 and 305.25 is: 457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.64 : 1,568.24 = 305.25 : x
  2. Step 2: Convert to fraction form
    1,045.64/1,568.24 = 305.25/x
  3. Step 3: Cross multiply
    1,045.64x = 1,568.24 × 305.25
  4. Step 4: Simplify right side
    1,045.64x = 478,703.73
  5. Step 5: Solve for x
    x = 478,703.73/1,045.64
  6. Step 6: Final answer
    x = 457.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.