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Finding the Fourth Proportional to 970.50, 1,339.35 and 597.89

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Solution

The fourth proportional to 970.50, 1,339.35 and 597.89 is: 825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.50 : 1,339.35 = 597.89 : x
  2. Step 2: Convert to fraction form
    970.50/1,339.35 = 597.89/x
  3. Step 3: Cross multiply
    970.50x = 1,339.35 × 597.89
  4. Step 4: Simplify right side
    970.50x = 800,777.27
  5. Step 5: Solve for x
    x = 800,777.27/970.50
  6. Step 6: Final answer
    x = 825.12

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1.5x scale

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.