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Finding the Fourth Proportional to 1,052.64, 1,578.95 and 435.66

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Solution

The fourth proportional to 1,052.64, 1,578.95 and 435.66 is: 653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.64 : 1,578.95 = 435.66 : x
  2. Step 2: Convert to fraction form
    1,052.64/1,578.95 = 435.66/x
  3. Step 3: Cross multiply
    1,052.64x = 1,578.95 × 435.66
  4. Step 4: Simplify right side
    1,052.64x = 687,885.36
  5. Step 5: Solve for x
    x = 687,885.36/1,052.64
  6. Step 6: Final answer
    x = 653.49

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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.