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Finding the Fourth Proportional to 972.08, 1,457.04 and 458

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Solution

The fourth proportional to 972.08, 1,457.04 and 458 is: 686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.08 : 1,457.04 = 458 : x
  2. Step 2: Convert to fraction form
    972.08/1,457.04 = 458/x
  3. Step 3: Cross multiply
    972.08x = 1,457.04 × 458
  4. Step 4: Simplify right side
    972.08x = 667,324.32
  5. Step 5: Solve for x
    x = 667,324.32/972.08
  6. Step 6: Final answer
    x = 686.49

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1.5x scale

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.