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Finding the Fourth Proportional to 1,242.63, 1,714.11 and 776.07

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Solution

The fourth proportional to 1,242.63, 1,714.11 and 776.07 is: 1,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.63 : 1,714.11 = 776.07 : x
  2. Step 2: Convert to fraction form
    1,242.63/1,714.11 = 776.07/x
  3. Step 3: Cross multiply
    1,242.63x = 1,714.11 × 776.07
  4. Step 4: Simplify right side
    1,242.63x = 1,330,269.35
  5. Step 5: Solve for x
    x = 1,330,269.35/1,242.63
  6. Step 6: Final answer
    x = 1,070.53

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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.