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Finding the Fourth Proportional to 835.32, 1,146.56 and 761.16

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Solution

The fourth proportional to 835.32, 1,146.56 and 761.16 is: 1,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.32 : 1,146.56 = 761.16 : x
  2. Step 2: Convert to fraction form
    835.32/1,146.56 = 761.16/x
  3. Step 3: Cross multiply
    835.32x = 1,146.56 × 761.16
  4. Step 4: Simplify right side
    835.32x = 872,715.61
  5. Step 5: Solve for x
    x = 872,715.61/835.32
  6. Step 6: Final answer
    x = 1,044.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.