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Finding the Fourth Proportional to 970.02, 1,454.04 and 483.30

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Solution

The fourth proportional to 970.02, 1,454.04 and 483.30 is: 724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.02 : 1,454.04 = 483.30 : x
  2. Step 2: Convert to fraction form
    970.02/1,454.04 = 483.30/x
  3. Step 3: Cross multiply
    970.02x = 1,454.04 × 483.30
  4. Step 4: Simplify right side
    970.02x = 702,737.53
  5. Step 5: Solve for x
    x = 702,737.53/970.02
  6. Step 6: Final answer
    x = 724.46

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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.