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Finding the Fourth Proportional to 1,358.57, 2,038.06 and 433.96

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Solution

The fourth proportional to 1,358.57, 2,038.06 and 433.96 is: 651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.57 : 2,038.06 = 433.96 : x
  2. Step 2: Convert to fraction form
    1,358.57/2,038.06 = 433.96/x
  3. Step 3: Cross multiply
    1,358.57x = 2,038.06 × 433.96
  4. Step 4: Simplify right side
    1,358.57x = 884,431.96
  5. Step 5: Solve for x
    x = 884,431.96/1,358.57
  6. Step 6: Final answer
    x = 651.00

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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.