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Finding the Fourth Proportional to 1,159.02, 1,600.20 and 909.77

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Solution

The fourth proportional to 1,159.02, 1,600.20 and 909.77 is: 1,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.02 : 1,600.20 = 909.77 : x
  2. Step 2: Convert to fraction form
    1,159.02/1,600.20 = 909.77/x
  3. Step 3: Cross multiply
    1,159.02x = 1,600.20 × 909.77
  4. Step 4: Simplify right side
    1,159.02x = 1,455,805.95
  5. Step 5: Solve for x
    x = 1,455,805.95/1,159.02
  6. Step 6: Final answer
    x = 1,256.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.