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Finding the Fourth Proportional to 1,312.47, 1,970.13 and 793.77

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Solution

The fourth proportional to 1,312.47, 1,970.13 and 793.77 is: 1,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.47 : 1,970.13 = 793.77 : x
  2. Step 2: Convert to fraction form
    1,312.47/1,970.13 = 793.77/x
  3. Step 3: Cross multiply
    1,312.47x = 1,970.13 × 793.77
  4. Step 4: Simplify right side
    1,312.47x = 1,563,830.09
  5. Step 5: Solve for x
    x = 1,563,830.09/1,312.47
  6. Step 6: Final answer
    x = 1,191.52

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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.