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Finding the Fourth Proportional to 1,200.86, 1,657.65 and 703.51

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Solution

The fourth proportional to 1,200.86, 1,657.65 and 703.51 is: 971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.86 : 1,657.65 = 703.51 : x
  2. Step 2: Convert to fraction form
    1,200.86/1,657.65 = 703.51/x
  3. Step 3: Cross multiply
    1,200.86x = 1,657.65 × 703.51
  4. Step 4: Simplify right side
    1,200.86x = 1,166,167.89
  5. Step 5: Solve for x
    x = 1,166,167.89/1,200.86
  6. Step 6: Final answer
    x = 971.11

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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.