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Finding the Fourth Proportional to 1,035.04, 1,430.31 and 785.92

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Solution

The fourth proportional to 1,035.04, 1,430.31 and 785.92 is: 1,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.04 : 1,430.31 = 785.92 : x
  2. Step 2: Convert to fraction form
    1,035.04/1,430.31 = 785.92/x
  3. Step 3: Cross multiply
    1,035.04x = 1,430.31 × 785.92
  4. Step 4: Simplify right side
    1,035.04x = 1,124,109.24
  5. Step 5: Solve for x
    x = 1,124,109.24/1,035.04
  6. Step 6: Final answer
    x = 1,086.05

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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.