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Finding the Fourth Proportional to 972.71, 1,459.65 and 395.57

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Solution

The fourth proportional to 972.71, 1,459.65 and 395.57 is: 593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.71 : 1,459.65 = 395.57 : x
  2. Step 2: Convert to fraction form
    972.71/1,459.65 = 395.57/x
  3. Step 3: Cross multiply
    972.71x = 1,459.65 × 395.57
  4. Step 4: Simplify right side
    972.71x = 577,386.45
  5. Step 5: Solve for x
    x = 577,386.45/972.71
  6. Step 6: Final answer
    x = 593.59

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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.