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Finding the Fourth Proportional to 1,048.19, 1,446.49 and 569.66

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Solution

The fourth proportional to 1,048.19, 1,446.49 and 569.66 is: 786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.19 : 1,446.49 = 569.66 : x
  2. Step 2: Convert to fraction form
    1,048.19/1,446.49 = 569.66/x
  3. Step 3: Cross multiply
    1,048.19x = 1,446.49 × 569.66
  4. Step 4: Simplify right side
    1,048.19x = 824,001.69
  5. Step 5: Solve for x
    x = 824,001.69/1,048.19
  6. Step 6: Final answer
    x = 786.12

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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.