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Finding the Fourth Proportional to 777.28, 1,071.66 and 567.28

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Solution

The fourth proportional to 777.28, 1,071.66 and 567.28 is: 782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.28 : 1,071.66 = 567.28 : x
  2. Step 2: Convert to fraction form
    777.28/1,071.66 = 567.28/x
  3. Step 3: Cross multiply
    777.28x = 1,071.66 × 567.28
  4. Step 4: Simplify right side
    777.28x = 607,931.28
  5. Step 5: Solve for x
    x = 607,931.28/777.28
  6. Step 6: Final answer
    x = 782.13

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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.