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Finding the Fourth Proportional to 972.16, 1,457.44 and 561.48

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Solution

The fourth proportional to 972.16, 1,457.44 and 561.48 is: 841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.16 : 1,457.44 = 561.48 : x
  2. Step 2: Convert to fraction form
    972.16/1,457.44 = 561.48/x
  3. Step 3: Cross multiply
    972.16x = 1,457.44 × 561.48
  4. Step 4: Simplify right side
    972.16x = 818,323.41
  5. Step 5: Solve for x
    x = 818,323.41/972.16
  6. Step 6: Final answer
    x = 841.76

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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.