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Finding the Fourth Proportional to 1,010.24, 1,394.16 and 562.12

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Solution

The fourth proportional to 1,010.24, 1,394.16 and 562.12 is: 775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.24 : 1,394.16 = 562.12 : x
  2. Step 2: Convert to fraction form
    1,010.24/1,394.16 = 562.12/x
  3. Step 3: Cross multiply
    1,010.24x = 1,394.16 × 562.12
  4. Step 4: Simplify right side
    1,010.24x = 783,685.22
  5. Step 5: Solve for x
    x = 783,685.22/1,010.24
  6. Step 6: Final answer
    x = 775.74

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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.