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Finding the Fourth Proportional to 972.81, 1,459.62 and 510.57

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Solution

The fourth proportional to 972.81, 1,459.62 and 510.57 is: 766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.81 : 1,459.62 = 510.57 : x
  2. Step 2: Convert to fraction form
    972.81/1,459.62 = 510.57/x
  3. Step 3: Cross multiply
    972.81x = 1,459.62 × 510.57
  4. Step 4: Simplify right side
    972.81x = 745,238.18
  5. Step 5: Solve for x
    x = 745,238.18/972.81
  6. Step 6: Final answer
    x = 766.07

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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.