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Finding the Fourth Proportional to 1,047.07, 1,445.93 and 784.63

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Solution

The fourth proportional to 1,047.07, 1,445.93 and 784.63 is: 1,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.07 : 1,445.93 = 784.63 : x
  2. Step 2: Convert to fraction form
    1,047.07/1,445.93 = 784.63/x
  3. Step 3: Cross multiply
    1,047.07x = 1,445.93 × 784.63
  4. Step 4: Simplify right side
    1,047.07x = 1,134,520.06
  5. Step 5: Solve for x
    x = 1,134,520.06/1,047.07
  6. Step 6: Final answer
    x = 1,083.52

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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.