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Finding the Fourth Proportional to 832.74, 1,148.36 and 715.13

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Solution

The fourth proportional to 832.74, 1,148.36 and 715.13 is: 986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.74 : 1,148.36 = 715.13 : x
  2. Step 2: Convert to fraction form
    832.74/1,148.36 = 715.13/x
  3. Step 3: Cross multiply
    832.74x = 1,148.36 × 715.13
  4. Step 4: Simplify right side
    832.74x = 821,217.37
  5. Step 5: Solve for x
    x = 821,217.37/832.74
  6. Step 6: Final answer
    x = 986.16

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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.