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Finding the Fourth Proportional to 901.07, 1,242.95 and 569.23

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Solution

The fourth proportional to 901.07, 1,242.95 and 569.23 is: 785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.07 : 1,242.95 = 569.23 : x
  2. Step 2: Convert to fraction form
    901.07/1,242.95 = 569.23/x
  3. Step 3: Cross multiply
    901.07x = 1,242.95 × 569.23
  4. Step 4: Simplify right side
    901.07x = 707,518.47
  5. Step 5: Solve for x
    x = 707,518.47/901.07
  6. Step 6: Final answer
    x = 785.19

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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.