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Finding the Fourth Proportional to 972.90, 1,460.01 and 424.80

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Solution

The fourth proportional to 972.90, 1,460.01 and 424.80 is: 637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,460.01 = 424.80 : x
  2. Step 2: Convert to fraction form
    972.90/1,460.01 = 424.80/x
  3. Step 3: Cross multiply
    972.90x = 1,460.01 × 424.80
  4. Step 4: Simplify right side
    972.90x = 620,212.25
  5. Step 5: Solve for x
    x = 620,212.25/972.90
  6. Step 6: Final answer
    x = 637.49

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Double scale
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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.