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Finding the Fourth Proportional to 972.18, 1,342.53 and 970.20

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Solution

The fourth proportional to 972.18, 1,342.53 and 970.20 is: 1,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.18 : 1,342.53 = 970.20 : x
  2. Step 2: Convert to fraction form
    972.18/1,342.53 = 970.20/x
  3. Step 3: Cross multiply
    972.18x = 1,342.53 × 970.20
  4. Step 4: Simplify right side
    972.18x = 1,302,522.61
  5. Step 5: Solve for x
    x = 1,302,522.61/972.18
  6. Step 6: Final answer
    x = 1,339.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.