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Finding the Fourth Proportional to 1,528.66, 2,293.58 and 651.34

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Solution

The fourth proportional to 1,528.66, 2,293.58 and 651.34 is: 977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.66 : 2,293.58 = 651.34 : x
  2. Step 2: Convert to fraction form
    1,528.66/2,293.58 = 651.34/x
  3. Step 3: Cross multiply
    1,528.66x = 2,293.58 × 651.34
  4. Step 4: Simplify right side
    1,528.66x = 1,493,900.40
  5. Step 5: Solve for x
    x = 1,493,900.40/1,528.66
  6. Step 6: Final answer
    x = 977.26

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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.