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Finding the Fourth Proportional to 1,095.16, 1,510.54 and 1,059

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Solution

The fourth proportional to 1,095.16, 1,510.54 and 1,059 is: 1,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.16 : 1,510.54 = 1,059 : x
  2. Step 2: Convert to fraction form
    1,095.16/1,510.54 = 1,059/x
  3. Step 3: Cross multiply
    1,095.16x = 1,510.54 × 1,059
  4. Step 4: Simplify right side
    1,095.16x = 1,599,661.86
  5. Step 5: Solve for x
    x = 1,599,661.86/1,095.16
  6. Step 6: Final answer
    x = 1,460.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.