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Finding the Fourth Proportional to 795.95, 1,186.99 and 707.43

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Solution

The fourth proportional to 795.95, 1,186.99 and 707.43 is: 1,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.95 : 1,186.99 = 707.43 : x
  2. Step 2: Convert to fraction form
    795.95/1,186.99 = 707.43/x
  3. Step 3: Cross multiply
    795.95x = 1,186.99 × 707.43
  4. Step 4: Simplify right side
    795.95x = 839,715.02
  5. Step 5: Solve for x
    x = 839,715.02/795.95
  6. Step 6: Final answer
    x = 1,054.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.