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Finding the Fourth Proportional to 972.90, 1,457.66 and 697.64

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Solution

The fourth proportional to 972.90, 1,457.66 and 697.64 is: 1,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,457.66 = 697.64 : x
  2. Step 2: Convert to fraction form
    972.90/1,457.66 = 697.64/x
  3. Step 3: Cross multiply
    972.90x = 1,457.66 × 697.64
  4. Step 4: Simplify right side
    972.90x = 1,016,921.92
  5. Step 5: Solve for x
    x = 1,016,921.92/972.90
  6. Step 6: Final answer
    x = 1,045.25

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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.