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Finding the Fourth Proportional to 712.14, 979.05 and 707.70

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Solution

The fourth proportional to 712.14, 979.05 and 707.70 is: 972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.14 : 979.05 = 707.70 : x
  2. Step 2: Convert to fraction form
    712.14/979.05 = 707.70/x
  3. Step 3: Cross multiply
    712.14x = 979.05 × 707.70
  4. Step 4: Simplify right side
    712.14x = 692,875.13
  5. Step 5: Solve for x
    x = 692,875.13/712.14
  6. Step 6: Final answer
    x = 972.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.