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Finding the Fourth Proportional to 901.04, 1,350.95 and 777.63

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Solution

The fourth proportional to 901.04, 1,350.95 and 777.63 is: 1,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.04 : 1,350.95 = 777.63 : x
  2. Step 2: Convert to fraction form
    901.04/1,350.95 = 777.63/x
  3. Step 3: Cross multiply
    901.04x = 1,350.95 × 777.63
  4. Step 4: Simplify right side
    901.04x = 1,050,539.25
  5. Step 5: Solve for x
    x = 1,050,539.25/901.04
  6. Step 6: Final answer
    x = 1,165.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.