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Finding the Fourth Proportional to 916.53, 1,265.30 and 706.25

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Solution

The fourth proportional to 916.53, 1,265.30 and 706.25 is: 974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.53 : 1,265.30 = 706.25 : x
  2. Step 2: Convert to fraction form
    916.53/1,265.30 = 706.25/x
  3. Step 3: Cross multiply
    916.53x = 1,265.30 × 706.25
  4. Step 4: Simplify right side
    916.53x = 893,613.98
  5. Step 5: Solve for x
    x = 893,613.98/916.53
  6. Step 6: Final answer
    x = 974.99

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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.