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Finding the Fourth Proportional to 1,051.84, 1,448.80 and 800.74

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Solution

The fourth proportional to 1,051.84, 1,448.80 and 800.74 is: 1,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.84 : 1,448.80 = 800.74 : x
  2. Step 2: Convert to fraction form
    1,051.84/1,448.80 = 800.74/x
  3. Step 3: Cross multiply
    1,051.84x = 1,448.80 × 800.74
  4. Step 4: Simplify right side
    1,051.84x = 1,160,100.86
  5. Step 5: Solve for x
    x = 1,160,100.86/1,051.84
  6. Step 6: Final answer
    x = 1,102.93

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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.