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Finding the Fourth Proportional to 1,402.16, 1,934.95 and 772.74

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Solution

The fourth proportional to 1,402.16, 1,934.95 and 772.74 is: 1,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.16 : 1,934.95 = 772.74 : x
  2. Step 2: Convert to fraction form
    1,402.16/1,934.95 = 772.74/x
  3. Step 3: Cross multiply
    1,402.16x = 1,934.95 × 772.74
  4. Step 4: Simplify right side
    1,402.16x = 1,495,214.41
  5. Step 5: Solve for x
    x = 1,495,214.41/1,402.16
  6. Step 6: Final answer
    x = 1,066.37

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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.