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Finding the Fourth Proportional to 1,440.08, 1,987.35 and 810.65

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Solution

The fourth proportional to 1,440.08, 1,987.35 and 810.65 is: 1,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.08 : 1,987.35 = 810.65 : x
  2. Step 2: Convert to fraction form
    1,440.08/1,987.35 = 810.65/x
  3. Step 3: Cross multiply
    1,440.08x = 1,987.35 × 810.65
  4. Step 4: Simplify right side
    1,440.08x = 1,611,045.28
  5. Step 5: Solve for x
    x = 1,611,045.28/1,440.08
  6. Step 6: Final answer
    x = 1,118.72

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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.