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Finding the Fourth Proportional to 970.50, 1,456.56 and 457.50

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Solution

The fourth proportional to 970.50, 1,456.56 and 457.50 is: 686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.50 : 1,456.56 = 457.50 : x
  2. Step 2: Convert to fraction form
    970.50/1,456.56 = 457.50/x
  3. Step 3: Cross multiply
    970.50x = 1,456.56 × 457.50
  4. Step 4: Simplify right side
    970.50x = 666,376.20
  5. Step 5: Solve for x
    x = 666,376.20/970.50
  6. Step 6: Final answer
    x = 686.63

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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.