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Finding the Fourth Proportional to 1,402.16, 1,935.09 and 772.80

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Solution

The fourth proportional to 1,402.16, 1,935.09 and 772.80 is: 1,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.16 : 1,935.09 = 772.80 : x
  2. Step 2: Convert to fraction form
    1,402.16/1,935.09 = 772.80/x
  3. Step 3: Cross multiply
    1,402.16x = 1,935.09 × 772.80
  4. Step 4: Simplify right side
    1,402.16x = 1,495,437.55
  5. Step 5: Solve for x
    x = 1,495,437.55/1,402.16
  6. Step 6: Final answer
    x = 1,066.53

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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.