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Finding the Fourth Proportional to 1,374.95, 2,062.55 and 552.77

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Solution

The fourth proportional to 1,374.95, 2,062.55 and 552.77 is: 829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.95 : 2,062.55 = 552.77 : x
  2. Step 2: Convert to fraction form
    1,374.95/2,062.55 = 552.77/x
  3. Step 3: Cross multiply
    1,374.95x = 2,062.55 × 552.77
  4. Step 4: Simplify right side
    1,374.95x = 1,140,115.76
  5. Step 5: Solve for x
    x = 1,140,115.76/1,374.95
  6. Step 6: Final answer
    x = 829.21

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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.