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Finding the Fourth Proportional to 1,077.40, 1,485.57 and 1,019.01

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Solution

The fourth proportional to 1,077.40, 1,485.57 and 1,019.01 is: 1,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.40 : 1,485.57 = 1,019.01 : x
  2. Step 2: Convert to fraction form
    1,077.40/1,485.57 = 1,019.01/x
  3. Step 3: Cross multiply
    1,077.40x = 1,485.57 × 1,019.01
  4. Step 4: Simplify right side
    1,077.40x = 1,513,798.95
  5. Step 5: Solve for x
    x = 1,513,798.95/1,077.40
  6. Step 6: Final answer
    x = 1,405.05

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Why These Related Problems?

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