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Finding the Fourth Proportional to 972.34, 1,340.77 and 657.06

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Solution

The fourth proportional to 972.34, 1,340.77 and 657.06 is: 906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.34 : 1,340.77 = 657.06 : x
  2. Step 2: Convert to fraction form
    972.34/1,340.77 = 657.06/x
  3. Step 3: Cross multiply
    972.34x = 1,340.77 × 657.06
  4. Step 4: Simplify right side
    972.34x = 880,956.35
  5. Step 5: Solve for x
    x = 880,956.35/972.34
  6. Step 6: Final answer
    x = 906.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.