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Finding the Fourth Proportional to 1,390.33, 2,085.49 and 557.77

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Solution

The fourth proportional to 1,390.33, 2,085.49 and 557.77 is: 836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.33 : 2,085.49 = 557.77 : x
  2. Step 2: Convert to fraction form
    1,390.33/2,085.49 = 557.77/x
  3. Step 3: Cross multiply
    1,390.33x = 2,085.49 × 557.77
  4. Step 4: Simplify right side
    1,390.33x = 1,163,210.54
  5. Step 5: Solve for x
    x = 1,163,210.54/1,390.33
  6. Step 6: Final answer
    x = 836.64

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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.