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Finding the Fourth Proportional to 1,312.98, 1,970.16 and 902.46

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Solution

The fourth proportional to 1,312.98, 1,970.16 and 902.46 is: 1,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.98 : 1,970.16 = 902.46 : x
  2. Step 2: Convert to fraction form
    1,312.98/1,970.16 = 902.46/x
  3. Step 3: Cross multiply
    1,312.98x = 1,970.16 × 902.46
  4. Step 4: Simplify right side
    1,312.98x = 1,777,990.59
  5. Step 5: Solve for x
    x = 1,777,990.59/1,312.98
  6. Step 6: Final answer
    x = 1,354.16

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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.