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Finding the Fourth Proportional to 713.51, 983.47 and 477.38

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Solution

The fourth proportional to 713.51, 983.47 and 477.38 is: 657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.51 : 983.47 = 477.38 : x
  2. Step 2: Convert to fraction form
    713.51/983.47 = 477.38/x
  3. Step 3: Cross multiply
    713.51x = 983.47 × 477.38
  4. Step 4: Simplify right side
    713.51x = 469,486.21
  5. Step 5: Solve for x
    x = 469,486.21/713.51
  6. Step 6: Final answer
    x = 657.99

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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.