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Finding the Fourth Proportional to 1,054.02, 1,454.35 and 661.58

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Solution

The fourth proportional to 1,054.02, 1,454.35 and 661.58 is: 912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.02 : 1,454.35 = 661.58 : x
  2. Step 2: Convert to fraction form
    1,054.02/1,454.35 = 661.58/x
  3. Step 3: Cross multiply
    1,054.02x = 1,454.35 × 661.58
  4. Step 4: Simplify right side
    1,054.02x = 962,168.87
  5. Step 5: Solve for x
    x = 962,168.87/1,054.02
  6. Step 6: Final answer
    x = 912.86

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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.