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Finding the Fourth Proportional to 752.63, 1,039.08 and 473.10

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Solution

The fourth proportional to 752.63, 1,039.08 and 473.10 is: 653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.63 : 1,039.08 = 473.10 : x
  2. Step 2: Convert to fraction form
    752.63/1,039.08 = 473.10/x
  3. Step 3: Cross multiply
    752.63x = 1,039.08 × 473.10
  4. Step 4: Simplify right side
    752.63x = 491,588.75
  5. Step 5: Solve for x
    x = 491,588.75/752.63
  6. Step 6: Final answer
    x = 653.16

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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.