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Finding the Fourth Proportional to 1,027.66, 1,417.40 and 712.93

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Solution

The fourth proportional to 1,027.66, 1,417.40 and 712.93 is: 983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.66 : 1,417.40 = 712.93 : x
  2. Step 2: Convert to fraction form
    1,027.66/1,417.40 = 712.93/x
  3. Step 3: Cross multiply
    1,027.66x = 1,417.40 × 712.93
  4. Step 4: Simplify right side
    1,027.66x = 1,010,501.22
  5. Step 5: Solve for x
    x = 1,010,501.22/1,027.66
  6. Step 6: Final answer
    x = 983.30

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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.