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Finding the Fourth Proportional to 946.40, 1,417.86 and 534.80

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Solution

The fourth proportional to 946.40, 1,417.86 and 534.80 is: 801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.40 : 1,417.86 = 534.80 : x
  2. Step 2: Convert to fraction form
    946.40/1,417.86 = 534.80/x
  3. Step 3: Cross multiply
    946.40x = 1,417.86 × 534.80
  4. Step 4: Simplify right side
    946.40x = 758,271.53
  5. Step 5: Solve for x
    x = 758,271.53/946.40
  6. Step 6: Final answer
    x = 801.22

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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.