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Finding the Fourth Proportional to 972.10, 1,457.42 and 458.50

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Solution

The fourth proportional to 972.10, 1,457.42 and 458.50 is: 687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.10 : 1,457.42 = 458.50 : x
  2. Step 2: Convert to fraction form
    972.10/1,457.42 = 458.50/x
  3. Step 3: Cross multiply
    972.10x = 1,457.42 × 458.50
  4. Step 4: Simplify right side
    972.10x = 668,227.07
  5. Step 5: Solve for x
    x = 668,227.07/972.10
  6. Step 6: Final answer
    x = 687.41

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Double scale
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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.