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Finding the Fourth Proportional to 916.72, 1,264.76 and 562.64

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Solution

The fourth proportional to 916.72, 1,264.76 and 562.64 is: 776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.72 : 1,264.76 = 562.64 : x
  2. Step 2: Convert to fraction form
    916.72/1,264.76 = 562.64/x
  3. Step 3: Cross multiply
    916.72x = 1,264.76 × 562.64
  4. Step 4: Simplify right side
    916.72x = 711,604.57
  5. Step 5: Solve for x
    x = 711,604.57/916.72
  6. Step 6: Final answer
    x = 776.25

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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.