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Finding the Fourth Proportional to 916.80, 1,264.65 and 562.89

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Solution

The fourth proportional to 916.80, 1,264.65 and 562.89 is: 776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.80 : 1,264.65 = 562.89 : x
  2. Step 2: Convert to fraction form
    916.80/1,264.65 = 562.89/x
  3. Step 3: Cross multiply
    916.80x = 1,264.65 × 562.89
  4. Step 4: Simplify right side
    916.80x = 711,858.84
  5. Step 5: Solve for x
    x = 711,858.84/916.80
  6. Step 6: Final answer
    x = 776.46

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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.