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Finding the Fourth Proportional to 858.40, 1,284.90 and 615.40

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Solution

The fourth proportional to 858.40, 1,284.90 and 615.40 is: 921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.40 : 1,284.90 = 615.40 : x
  2. Step 2: Convert to fraction form
    858.40/1,284.90 = 615.40/x
  3. Step 3: Cross multiply
    858.40x = 1,284.90 × 615.40
  4. Step 4: Simplify right side
    858.40x = 790,727.46
  5. Step 5: Solve for x
    x = 790,727.46/858.40
  6. Step 6: Final answer
    x = 921.16

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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.