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Finding the Fourth Proportional to 1,027.64, 1,417.83 and 712.55

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Solution

The fourth proportional to 1,027.64, 1,417.83 and 712.55 is: 983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.64 : 1,417.83 = 712.55 : x
  2. Step 2: Convert to fraction form
    1,027.64/1,417.83 = 712.55/x
  3. Step 3: Cross multiply
    1,027.64x = 1,417.83 × 712.55
  4. Step 4: Simplify right side
    1,027.64x = 1,010,274.77
  5. Step 5: Solve for x
    x = 1,010,274.77/1,027.64
  6. Step 6: Final answer
    x = 983.10

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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.