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Finding the Fourth Proportional to 877.02, 1,211.40 and 766.62

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Solution

The fourth proportional to 877.02, 1,211.40 and 766.62 is: 1,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.02 : 1,211.40 = 766.62 : x
  2. Step 2: Convert to fraction form
    877.02/1,211.40 = 766.62/x
  3. Step 3: Cross multiply
    877.02x = 1,211.40 × 766.62
  4. Step 4: Simplify right side
    877.02x = 928,683.47
  5. Step 5: Solve for x
    x = 928,683.47/877.02
  6. Step 6: Final answer
    x = 1,058.91

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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.