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Finding the Fourth Proportional to 1,276.57, 1,913.50 and 545.77

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Solution

The fourth proportional to 1,276.57, 1,913.50 and 545.77 is: 818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.57 : 1,913.50 = 545.77 : x
  2. Step 2: Convert to fraction form
    1,276.57/1,913.50 = 545.77/x
  3. Step 3: Cross multiply
    1,276.57x = 1,913.50 × 545.77
  4. Step 4: Simplify right side
    1,276.57x = 1,044,330.90
  5. Step 5: Solve for x
    x = 1,044,330.90/1,276.57
  6. Step 6: Final answer
    x = 818.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.