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Finding the Fourth Proportional to 1,500.77, 2,070.87 and 837.57

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Solution

The fourth proportional to 1,500.77, 2,070.87 and 837.57 is: 1,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.77 : 2,070.87 = 837.57 : x
  2. Step 2: Convert to fraction form
    1,500.77/2,070.87 = 837.57/x
  3. Step 3: Cross multiply
    1,500.77x = 2,070.87 × 837.57
  4. Step 4: Simplify right side
    1,500.77x = 1,734,498.59
  5. Step 5: Solve for x
    x = 1,734,498.59/1,500.77
  6. Step 6: Final answer
    x = 1,155.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.