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Finding the Fourth Proportional to 972.74, 1,459.84 and 713.40

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Solution

The fourth proportional to 972.74, 1,459.84 and 713.40 is: 1,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.74 : 1,459.84 = 713.40 : x
  2. Step 2: Convert to fraction form
    972.74/1,459.84 = 713.40/x
  3. Step 3: Cross multiply
    972.74x = 1,459.84 × 713.40
  4. Step 4: Simplify right side
    972.74x = 1,041,449.86
  5. Step 5: Solve for x
    x = 1,041,449.86/972.74
  6. Step 6: Final answer
    x = 1,070.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.