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Finding the Fourth Proportional to 1,146.76, 1,574.08 and 1,019.64

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Solution

The fourth proportional to 1,146.76, 1,574.08 and 1,019.64 is: 1,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.76 : 1,574.08 = 1,019.64 : x
  2. Step 2: Convert to fraction form
    1,146.76/1,574.08 = 1,019.64/x
  3. Step 3: Cross multiply
    1,146.76x = 1,574.08 × 1,019.64
  4. Step 4: Simplify right side
    1,146.76x = 1,604,995.17
  5. Step 5: Solve for x
    x = 1,604,995.17/1,146.76
  6. Step 6: Final answer
    x = 1,399.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.