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Finding the Fourth Proportional to 900.45, 1,242.27 and 568.53

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Solution

The fourth proportional to 900.45, 1,242.27 and 568.53 is: 784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.45 : 1,242.27 = 568.53 : x
  2. Step 2: Convert to fraction form
    900.45/1,242.27 = 568.53/x
  3. Step 3: Cross multiply
    900.45x = 1,242.27 × 568.53
  4. Step 4: Simplify right side
    900.45x = 706,267.76
  5. Step 5: Solve for x
    x = 706,267.76/900.45
  6. Step 6: Final answer
    x = 784.35

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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.