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Finding the Fourth Proportional to 916.51, 1,264.80 and 523.57

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Solution

The fourth proportional to 916.51, 1,264.80 and 523.57 is: 722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.51 : 1,264.80 = 523.57 : x
  2. Step 2: Convert to fraction form
    916.51/1,264.80 = 523.57/x
  3. Step 3: Cross multiply
    916.51x = 1,264.80 × 523.57
  4. Step 4: Simplify right side
    916.51x = 662,211.34
  5. Step 5: Solve for x
    x = 662,211.34/916.51
  6. Step 6: Final answer
    x = 722.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.