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Finding the Fourth Proportional to 1,146.79, 1,582.62 and 649.48

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Solution

The fourth proportional to 1,146.79, 1,582.62 and 649.48 is: 896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.79 : 1,582.62 = 649.48 : x
  2. Step 2: Convert to fraction form
    1,146.79/1,582.62 = 649.48/x
  3. Step 3: Cross multiply
    1,146.79x = 1,582.62 × 649.48
  4. Step 4: Simplify right side
    1,146.79x = 1,027,880.04
  5. Step 5: Solve for x
    x = 1,027,880.04/1,146.79
  6. Step 6: Final answer
    x = 896.31

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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.