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Finding the Fourth Proportional to 970.62, 1,454.58 and 599.64

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Solution

The fourth proportional to 970.62, 1,454.58 and 599.64 is: 898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.62 : 1,454.58 = 599.64 : x
  2. Step 2: Convert to fraction form
    970.62/1,454.58 = 599.64/x
  3. Step 3: Cross multiply
    970.62x = 1,454.58 × 599.64
  4. Step 4: Simplify right side
    970.62x = 872,224.35
  5. Step 5: Solve for x
    x = 872,224.35/970.62
  6. Step 6: Final answer
    x = 898.63

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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.