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Finding the Fourth Proportional to 1,066.01, 1,598.08 and 510.42

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Solution

The fourth proportional to 1,066.01, 1,598.08 and 510.42 is: 765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.01 : 1,598.08 = 510.42 : x
  2. Step 2: Convert to fraction form
    1,066.01/1,598.08 = 510.42/x
  3. Step 3: Cross multiply
    1,066.01x = 1,598.08 × 510.42
  4. Step 4: Simplify right side
    1,066.01x = 815,688.68
  5. Step 5: Solve for x
    x = 815,688.68/1,066.01
  6. Step 6: Final answer
    x = 765.18

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