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Finding the Fourth Proportional to 962.77, 1,437.19 and 846.00

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Solution

The fourth proportional to 962.77, 1,437.19 and 846.00 is: 1,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.77 : 1,437.19 = 846.00 : x
  2. Step 2: Convert to fraction form
    962.77/1,437.19 = 846.00/x
  3. Step 3: Cross multiply
    962.77x = 1,437.19 × 846.00
  4. Step 4: Simplify right side
    962.77x = 1,215,854.22
  5. Step 5: Solve for x
    x = 1,215,854.22/962.77
  6. Step 6: Final answer
    x = 1,262.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.