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Finding the Fourth Proportional to 1,502.64, 2,254.10 and 578.43

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Solution

The fourth proportional to 1,502.64, 2,254.10 and 578.43 is: 867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.64 : 2,254.10 = 578.43 : x
  2. Step 2: Convert to fraction form
    1,502.64/2,254.10 = 578.43/x
  3. Step 3: Cross multiply
    1,502.64x = 2,254.10 × 578.43
  4. Step 4: Simplify right side
    1,502.64x = 1,303,836.17
  5. Step 5: Solve for x
    x = 1,303,836.17/1,502.64
  6. Step 6: Final answer
    x = 867.70

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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.