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Finding the Fourth Proportional to 1,036.67, 1,430.70 and 774.23

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Solution

The fourth proportional to 1,036.67, 1,430.70 and 774.23 is: 1,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.67 : 1,430.70 = 774.23 : x
  2. Step 2: Convert to fraction form
    1,036.67/1,430.70 = 774.23/x
  3. Step 3: Cross multiply
    1,036.67x = 1,430.70 × 774.23
  4. Step 4: Simplify right side
    1,036.67x = 1,107,689.22
  5. Step 5: Solve for x
    x = 1,107,689.22/1,036.67
  6. Step 6: Final answer
    x = 1,068.51

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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.