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Finding the Fourth Proportional to 1,012.82, 1,397.18 and 698.40

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Solution

The fourth proportional to 1,012.82, 1,397.18 and 698.40 is: 963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.82 : 1,397.18 = 698.40 : x
  2. Step 2: Convert to fraction form
    1,012.82/1,397.18 = 698.40/x
  3. Step 3: Cross multiply
    1,012.82x = 1,397.18 × 698.40
  4. Step 4: Simplify right side
    1,012.82x = 975,792.26
  5. Step 5: Solve for x
    x = 975,792.26/1,012.82
  6. Step 6: Final answer
    x = 963.45

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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.