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Finding the Fourth Proportional to 1,490.65, 2,056.58 and 869.65

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Solution

The fourth proportional to 1,490.65, 2,056.58 and 869.65 is: 1,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.65 : 2,056.58 = 869.65 : x
  2. Step 2: Convert to fraction form
    1,490.65/2,056.58 = 869.65/x
  3. Step 3: Cross multiply
    1,490.65x = 2,056.58 × 869.65
  4. Step 4: Simplify right side
    1,490.65x = 1,788,504.80
  5. Step 5: Solve for x
    x = 1,788,504.80/1,490.65
  6. Step 6: Final answer
    x = 1,199.82

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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.