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Finding the Fourth Proportional to 1,312.97, 1,812.02 and 870.12

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Solution

The fourth proportional to 1,312.97, 1,812.02 and 870.12 is: 1,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.97 : 1,812.02 = 870.12 : x
  2. Step 2: Convert to fraction form
    1,312.97/1,812.02 = 870.12/x
  3. Step 3: Cross multiply
    1,312.97x = 1,812.02 × 870.12
  4. Step 4: Simplify right side
    1,312.97x = 1,576,670.49
  5. Step 5: Solve for x
    x = 1,576,670.49/1,312.97
  6. Step 6: Final answer
    x = 1,200.85

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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.