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Finding the Fourth Proportional to 970.19, 1,337.46 and 690.32

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Solution

The fourth proportional to 970.19, 1,337.46 and 690.32 is: 951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.19 : 1,337.46 = 690.32 : x
  2. Step 2: Convert to fraction form
    970.19/1,337.46 = 690.32/x
  3. Step 3: Cross multiply
    970.19x = 1,337.46 × 690.32
  4. Step 4: Simplify right side
    970.19x = 923,275.39
  5. Step 5: Solve for x
    x = 923,275.39/970.19
  6. Step 6: Final answer
    x = 951.64

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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.