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Finding the Fourth Proportional to 900.99, 1,242.72 and 569.10

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Solution

The fourth proportional to 900.99, 1,242.72 and 569.10 is: 784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.99 : 1,242.72 = 569.10 : x
  2. Step 2: Convert to fraction form
    900.99/1,242.72 = 569.10/x
  3. Step 3: Cross multiply
    900.99x = 1,242.72 × 569.10
  4. Step 4: Simplify right side
    900.99x = 707,231.95
  5. Step 5: Solve for x
    x = 707,231.95/900.99
  6. Step 6: Final answer
    x = 784.95

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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.