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Finding the Fourth Proportional to 1,300.47, 1,794.58 and 803.15

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Solution

The fourth proportional to 1,300.47, 1,794.58 and 803.15 is: 1,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.47 : 1,794.58 = 803.15 : x
  2. Step 2: Convert to fraction form
    1,300.47/1,794.58 = 803.15/x
  3. Step 3: Cross multiply
    1,300.47x = 1,794.58 × 803.15
  4. Step 4: Simplify right side
    1,300.47x = 1,441,312.68
  5. Step 5: Solve for x
    x = 1,441,312.68/1,300.47
  6. Step 6: Final answer
    x = 1,108.30

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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.