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Finding the Fourth Proportional to 858.58, 1,182.84 and 710.75

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Solution

The fourth proportional to 858.58, 1,182.84 and 710.75 is: 979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.58 : 1,182.84 = 710.75 : x
  2. Step 2: Convert to fraction form
    858.58/1,182.84 = 710.75/x
  3. Step 3: Cross multiply
    858.58x = 1,182.84 × 710.75
  4. Step 4: Simplify right side
    858.58x = 840,703.82
  5. Step 5: Solve for x
    x = 840,703.82/858.58
  6. Step 6: Final answer
    x = 979.18

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1.5x scale

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.