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Finding the Fourth Proportional to 1,358.62, 1,872.93 and 1,004.02

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Solution

The fourth proportional to 1,358.62, 1,872.93 and 1,004.02 is: 1,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.62 : 1,872.93 = 1,004.02 : x
  2. Step 2: Convert to fraction form
    1,358.62/1,872.93 = 1,004.02/x
  3. Step 3: Cross multiply
    1,358.62x = 1,872.93 × 1,004.02
  4. Step 4: Simplify right side
    1,358.62x = 1,880,459.18
  5. Step 5: Solve for x
    x = 1,880,459.18/1,358.62
  6. Step 6: Final answer
    x = 1,384.10

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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.