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Finding the Fourth Proportional to 972.98, 1,459.70 and 598.15

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Solution

The fourth proportional to 972.98, 1,459.70 and 598.15 is: 897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.98 : 1,459.70 = 598.15 : x
  2. Step 2: Convert to fraction form
    972.98/1,459.70 = 598.15/x
  3. Step 3: Cross multiply
    972.98x = 1,459.70 × 598.15
  4. Step 4: Simplify right side
    972.98x = 873,118.39
  5. Step 5: Solve for x
    x = 873,118.39/972.98
  6. Step 6: Final answer
    x = 897.37

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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.