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Finding the Fourth Proportional to 898.86, 1,240.62 and 567.07

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Solution

The fourth proportional to 898.86, 1,240.62 and 567.07 is: 782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.86 : 1,240.62 = 567.07 : x
  2. Step 2: Convert to fraction form
    898.86/1,240.62 = 567.07/x
  3. Step 3: Cross multiply
    898.86x = 1,240.62 × 567.07
  4. Step 4: Simplify right side
    898.86x = 703,513.16
  5. Step 5: Solve for x
    x = 703,513.16/898.86
  6. Step 6: Final answer
    x = 782.67

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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.