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Finding the Fourth Proportional to 972.32, 1,457.69 and 510.01

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Solution

The fourth proportional to 972.32, 1,457.69 and 510.01 is: 764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.32 : 1,457.69 = 510.01 : x
  2. Step 2: Convert to fraction form
    972.32/1,457.69 = 510.01/x
  3. Step 3: Cross multiply
    972.32x = 1,457.69 × 510.01
  4. Step 4: Simplify right side
    972.32x = 743,430.28
  5. Step 5: Solve for x
    x = 743,430.28/972.32
  6. Step 6: Final answer
    x = 764.60

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Why These Related Problems?

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