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Finding the Fourth Proportional to 1,036.77, 1,430.64 and 638.37

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Solution

The fourth proportional to 1,036.77, 1,430.64 and 638.37 is: 880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.77 : 1,430.64 = 638.37 : x
  2. Step 2: Convert to fraction form
    1,036.77/1,430.64 = 638.37/x
  3. Step 3: Cross multiply
    1,036.77x = 1,430.64 × 638.37
  4. Step 4: Simplify right side
    1,036.77x = 913,278.21
  5. Step 5: Solve for x
    x = 913,278.21/1,036.77
  6. Step 6: Final answer
    x = 880.89

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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.