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Finding the Fourth Proportional to 947.36, 1,307.32 and 527.70

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Solution

The fourth proportional to 947.36, 1,307.32 and 527.70 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.36 : 1,307.32 = 527.70 : x
  2. Step 2: Convert to fraction form
    947.36/1,307.32 = 527.70/x
  3. Step 3: Cross multiply
    947.36x = 1,307.32 × 527.70
  4. Step 4: Simplify right side
    947.36x = 689,872.76
  5. Step 5: Solve for x
    x = 689,872.76/947.36
  6. Step 6: Final answer
    x = 728.21

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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.