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Finding the Fourth Proportional to 1,332.03, 1,838.26 and 772.53

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Solution

The fourth proportional to 1,332.03, 1,838.26 and 772.53 is: 1,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.03 : 1,838.26 = 772.53 : x
  2. Step 2: Convert to fraction form
    1,332.03/1,838.26 = 772.53/x
  3. Step 3: Cross multiply
    1,332.03x = 1,838.26 × 772.53
  4. Step 4: Simplify right side
    1,332.03x = 1,420,111.00
  5. Step 5: Solve for x
    x = 1,420,111.00/1,332.03
  6. Step 6: Final answer
    x = 1,066.13

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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.