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Finding the Fourth Proportional to 949.70, 1,307.66 and 714

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Solution

The fourth proportional to 949.70, 1,307.66 and 714 is: 983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.70 : 1,307.66 = 714 : x
  2. Step 2: Convert to fraction form
    949.70/1,307.66 = 714/x
  3. Step 3: Cross multiply
    949.70x = 1,307.66 × 714
  4. Step 4: Simplify right side
    949.70x = 933,669.24
  5. Step 5: Solve for x
    x = 933,669.24/949.70
  6. Step 6: Final answer
    x = 983.12

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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.