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Finding the Fourth Proportional to 1,041.46, 1,436.72 and 621.57

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Solution

The fourth proportional to 1,041.46, 1,436.72 and 621.57 is: 857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.46 : 1,436.72 = 621.57 : x
  2. Step 2: Convert to fraction form
    1,041.46/1,436.72 = 621.57/x
  3. Step 3: Cross multiply
    1,041.46x = 1,436.72 × 621.57
  4. Step 4: Simplify right side
    1,041.46x = 893,023.60
  5. Step 5: Solve for x
    x = 893,023.60/1,041.46
  6. Step 6: Final answer
    x = 857.47

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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.