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Finding the Fourth Proportional to 1,358.83, 2,038.38 and 434.15

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Solution

The fourth proportional to 1,358.83, 2,038.38 and 434.15 is: 651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.83 : 2,038.38 = 434.15 : x
  2. Step 2: Convert to fraction form
    1,358.83/2,038.38 = 434.15/x
  3. Step 3: Cross multiply
    1,358.83x = 2,038.38 × 434.15
  4. Step 4: Simplify right side
    1,358.83x = 884,962.68
  5. Step 5: Solve for x
    x = 884,962.68/1,358.83
  6. Step 6: Final answer
    x = 651.27

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