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Finding the Fourth Proportional to 973.60, 1,462.64 and 958.56

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Solution

The fourth proportional to 973.60, 1,462.64 and 958.56 is: 1,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.60 : 1,462.64 = 958.56 : x
  2. Step 2: Convert to fraction form
    973.60/1,462.64 = 958.56/x
  3. Step 3: Cross multiply
    973.60x = 1,462.64 × 958.56
  4. Step 4: Simplify right side
    973.60x = 1,402,028.20
  5. Step 5: Solve for x
    x = 1,402,028.20/973.60
  6. Step 6: Final answer
    x = 1,440.05

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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.