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Finding the Fourth Proportional to 945.69, 1,303.53 and 642.77

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Solution

The fourth proportional to 945.69, 1,303.53 and 642.77 is: 885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.69 : 1,303.53 = 642.77 : x
  2. Step 2: Convert to fraction form
    945.69/1,303.53 = 642.77/x
  3. Step 3: Cross multiply
    945.69x = 1,303.53 × 642.77
  4. Step 4: Simplify right side
    945.69x = 837,863.46
  5. Step 5: Solve for x
    x = 837,863.46/945.69
  6. Step 6: Final answer
    x = 885.98

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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.