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Finding the Fourth Proportional to 1,159.02, 1,598.58 and 738.90

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Solution

The fourth proportional to 1,159.02, 1,598.58 and 738.90 is: 1,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.02 : 1,598.58 = 738.90 : x
  2. Step 2: Convert to fraction form
    1,159.02/1,598.58 = 738.90/x
  3. Step 3: Cross multiply
    1,159.02x = 1,598.58 × 738.90
  4. Step 4: Simplify right side
    1,159.02x = 1,181,190.76
  5. Step 5: Solve for x
    x = 1,181,190.76/1,159.02
  6. Step 6: Final answer
    x = 1,019.13

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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.