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Finding the Fourth Proportional to 1,062.54, 1,465.81 and 708.37

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Solution

The fourth proportional to 1,062.54, 1,465.81 and 708.37 is: 977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.54 : 1,465.81 = 708.37 : x
  2. Step 2: Convert to fraction form
    1,062.54/1,465.81 = 708.37/x
  3. Step 3: Cross multiply
    1,062.54x = 1,465.81 × 708.37
  4. Step 4: Simplify right side
    1,062.54x = 1,038,330.39
  5. Step 5: Solve for x
    x = 1,038,330.39/1,062.54
  6. Step 6: Final answer
    x = 977.22

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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.