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Finding the Fourth Proportional to 964.01, 1,437.55 and 955.24

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Solution

The fourth proportional to 964.01, 1,437.55 and 955.24 is: 1,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.01 : 1,437.55 = 955.24 : x
  2. Step 2: Convert to fraction form
    964.01/1,437.55 = 955.24/x
  3. Step 3: Cross multiply
    964.01x = 1,437.55 × 955.24
  4. Step 4: Simplify right side
    964.01x = 1,373,212.74
  5. Step 5: Solve for x
    x = 1,373,212.74/964.01
  6. Step 6: Final answer
    x = 1,424.47

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.