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Finding the Fourth Proportional to 1,355.60, 2,032.88 and 430.96

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Solution

The fourth proportional to 1,355.60, 2,032.88 and 430.96 is: 646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.60 : 2,032.88 = 430.96 : x
  2. Step 2: Convert to fraction form
    1,355.60/2,032.88 = 430.96/x
  3. Step 3: Cross multiply
    1,355.60x = 2,032.88 × 430.96
  4. Step 4: Simplify right side
    1,355.60x = 876,089.96
  5. Step 5: Solve for x
    x = 876,089.96/1,355.60
  6. Step 6: Final answer
    x = 646.27

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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.