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Finding the Fourth Proportional to 1,237.79, 1,707.68 and 972.32

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Solution

The fourth proportional to 1,237.79, 1,707.68 and 972.32 is: 1,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.79 : 1,707.68 = 972.32 : x
  2. Step 2: Convert to fraction form
    1,237.79/1,707.68 = 972.32/x
  3. Step 3: Cross multiply
    1,237.79x = 1,707.68 × 972.32
  4. Step 4: Simplify right side
    1,237.79x = 1,660,398.02
  5. Step 5: Solve for x
    x = 1,660,398.02/1,237.79
  6. Step 6: Final answer
    x = 1,341.43

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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.