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Finding the Fourth Proportional to 1,403.76, 1,937.23 and 774.32

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Solution

The fourth proportional to 1,403.76, 1,937.23 and 774.32 is: 1,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.76 : 1,937.23 = 774.32 : x
  2. Step 2: Convert to fraction form
    1,403.76/1,937.23 = 774.32/x
  3. Step 3: Cross multiply
    1,403.76x = 1,937.23 × 774.32
  4. Step 4: Simplify right side
    1,403.76x = 1,500,038.84
  5. Step 5: Solve for x
    x = 1,500,038.84/1,403.76
  6. Step 6: Final answer
    x = 1,068.59

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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.