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Finding the Fourth Proportional to 954.77, 1,317.60 and 535.14

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Solution

The fourth proportional to 954.77, 1,317.60 and 535.14 is: 738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.77 : 1,317.60 = 535.14 : x
  2. Step 2: Convert to fraction form
    954.77/1,317.60 = 535.14/x
  3. Step 3: Cross multiply
    954.77x = 1,317.60 × 535.14
  4. Step 4: Simplify right side
    954.77x = 705,100.46
  5. Step 5: Solve for x
    x = 705,100.46/954.77
  6. Step 6: Final answer
    x = 738.51

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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.