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Finding the Fourth Proportional to 738.04, 1,018.16 and 476.14

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Solution

The fourth proportional to 738.04, 1,018.16 and 476.14 is: 656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.04 : 1,018.16 = 476.14 : x
  2. Step 2: Convert to fraction form
    738.04/1,018.16 = 476.14/x
  3. Step 3: Cross multiply
    738.04x = 1,018.16 × 476.14
  4. Step 4: Simplify right side
    738.04x = 484,784.32
  5. Step 5: Solve for x
    x = 484,784.32/738.04
  6. Step 6: Final answer
    x = 656.85

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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.