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Finding the Fourth Proportional to 1,026.33, 1,416.33 and 578.16

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Solution

The fourth proportional to 1,026.33, 1,416.33 and 578.16 is: 797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.33 : 1,416.33 = 578.16 : x
  2. Step 2: Convert to fraction form
    1,026.33/1,416.33 = 578.16/x
  3. Step 3: Cross multiply
    1,026.33x = 1,416.33 × 578.16
  4. Step 4: Simplify right side
    1,026.33x = 818,865.35
  5. Step 5: Solve for x
    x = 818,865.35/1,026.33
  6. Step 6: Final answer
    x = 797.86

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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.