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Finding the Fourth Proportional to 1,017.38, 1,403.99 and 551.63

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Solution

The fourth proportional to 1,017.38, 1,403.99 and 551.63 is: 761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.38 : 1,403.99 = 551.63 : x
  2. Step 2: Convert to fraction form
    1,017.38/1,403.99 = 551.63/x
  3. Step 3: Cross multiply
    1,017.38x = 1,403.99 × 551.63
  4. Step 4: Simplify right side
    1,017.38x = 774,473.23
  5. Step 5: Solve for x
    x = 774,473.23/1,017.38
  6. Step 6: Final answer
    x = 761.25

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Half scale
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Double scale
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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.