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Finding the Fourth Proportional to 1,312.08, 1,969.03 and 848.71

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Solution

The fourth proportional to 1,312.08, 1,969.03 and 848.71 is: 1,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.08 : 1,969.03 = 848.71 : x
  2. Step 2: Convert to fraction form
    1,312.08/1,969.03 = 848.71/x
  3. Step 3: Cross multiply
    1,312.08x = 1,969.03 × 848.71
  4. Step 4: Simplify right side
    1,312.08x = 1,671,125.61
  5. Step 5: Solve for x
    x = 1,671,125.61/1,312.08
  6. Step 6: Final answer
    x = 1,273.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.