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Finding the Fourth Proportional to 1,035.32, 1,552.69 and 341.86

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Solution

The fourth proportional to 1,035.32, 1,552.69 and 341.86 is: 512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.32 : 1,552.69 = 341.86 : x
  2. Step 2: Convert to fraction form
    1,035.32/1,552.69 = 341.86/x
  3. Step 3: Cross multiply
    1,035.32x = 1,552.69 × 341.86
  4. Step 4: Simplify right side
    1,035.32x = 530,802.60
  5. Step 5: Solve for x
    x = 530,802.60/1,035.32
  6. Step 6: Final answer
    x = 512.69

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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.