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Finding the Fourth Proportional to 1,061.63, 1,585.74 and 897.61

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Solution

The fourth proportional to 1,061.63, 1,585.74 and 897.61 is: 1,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.63 : 1,585.74 = 897.61 : x
  2. Step 2: Convert to fraction form
    1,061.63/1,585.74 = 897.61/x
  3. Step 3: Cross multiply
    1,061.63x = 1,585.74 × 897.61
  4. Step 4: Simplify right side
    1,061.63x = 1,423,376.08
  5. Step 5: Solve for x
    x = 1,423,376.08/1,061.63
  6. Step 6: Final answer
    x = 1,340.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.