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Finding the Fourth Proportional to 1,056.66, 1,454.70 and 1,004.70

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Solution

The fourth proportional to 1,056.66, 1,454.70 and 1,004.70 is: 1,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.66 : 1,454.70 = 1,004.70 : x
  2. Step 2: Convert to fraction form
    1,056.66/1,454.70 = 1,004.70/x
  3. Step 3: Cross multiply
    1,056.66x = 1,454.70 × 1,004.70
  4. Step 4: Simplify right side
    1,056.66x = 1,461,537.09
  5. Step 5: Solve for x
    x = 1,461,537.09/1,056.66
  6. Step 6: Final answer
    x = 1,383.17

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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.