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Finding the Fourth Proportional to 1,019.80, 1,407.12 and 626.92

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Solution

The fourth proportional to 1,019.80, 1,407.12 and 626.92 is: 865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.80 : 1,407.12 = 626.92 : x
  2. Step 2: Convert to fraction form
    1,019.80/1,407.12 = 626.92/x
  3. Step 3: Cross multiply
    1,019.80x = 1,407.12 × 626.92
  4. Step 4: Simplify right side
    1,019.80x = 882,151.67
  5. Step 5: Solve for x
    x = 882,151.67/1,019.80
  6. Step 6: Final answer
    x = 865.02

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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.