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Finding the Fourth Proportional to 1,158.15, 1,598.10 and 710.22

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Solution

The fourth proportional to 1,158.15, 1,598.10 and 710.22 is: 980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.15 : 1,598.10 = 710.22 : x
  2. Step 2: Convert to fraction form
    1,158.15/1,598.10 = 710.22/x
  3. Step 3: Cross multiply
    1,158.15x = 1,598.10 × 710.22
  4. Step 4: Simplify right side
    1,158.15x = 1,134,999.03
  5. Step 5: Solve for x
    x = 1,134,999.03/1,158.15
  6. Step 6: Final answer
    x = 980.01

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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.