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Finding the Fourth Proportional to 760.25, 1,047.94 and 654.75

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Solution

The fourth proportional to 760.25, 1,047.94 and 654.75 is: 902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.25 : 1,047.94 = 654.75 : x
  2. Step 2: Convert to fraction form
    760.25/1,047.94 = 654.75/x
  3. Step 3: Cross multiply
    760.25x = 1,047.94 × 654.75
  4. Step 4: Simplify right side
    760.25x = 686,137.08
  5. Step 5: Solve for x
    x = 686,137.08/760.25
  6. Step 6: Final answer
    x = 902.51

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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.