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Finding the Fourth Proportional to 942.25, 1,300.32 and 528.25

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Solution

The fourth proportional to 942.25, 1,300.32 and 528.25 is: 728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.25 : 1,300.32 = 528.25 : x
  2. Step 2: Convert to fraction form
    942.25/1,300.32 = 528.25/x
  3. Step 3: Cross multiply
    942.25x = 1,300.32 × 528.25
  4. Step 4: Simplify right side
    942.25x = 686,894.04
  5. Step 5: Solve for x
    x = 686,894.04/942.25
  6. Step 6: Final answer
    x = 728.99

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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.