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Finding the Fourth Proportional to 1,165.60, 1,746.85 and 434.44

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Solution

The fourth proportional to 1,165.60, 1,746.85 and 434.44 is: 651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.60 : 1,746.85 = 434.44 : x
  2. Step 2: Convert to fraction form
    1,165.60/1,746.85 = 434.44/x
  3. Step 3: Cross multiply
    1,165.60x = 1,746.85 × 434.44
  4. Step 4: Simplify right side
    1,165.60x = 758,901.51
  5. Step 5: Solve for x
    x = 758,901.51/1,165.60
  6. Step 6: Final answer
    x = 651.08

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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.