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Finding the Fourth Proportional to 945.83, 1,305.18 and 526.15

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Solution

The fourth proportional to 945.83, 1,305.18 and 526.15 is: 726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.83 : 1,305.18 = 526.15 : x
  2. Step 2: Convert to fraction form
    945.83/1,305.18 = 526.15/x
  3. Step 3: Cross multiply
    945.83x = 1,305.18 × 526.15
  4. Step 4: Simplify right side
    945.83x = 686,717.19
  5. Step 5: Solve for x
    x = 686,717.19/945.83
  6. Step 6: Final answer
    x = 726.05

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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.