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Finding the Fourth Proportional to 970.50, 1,339.44 and 597.36

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Solution

The fourth proportional to 970.50, 1,339.44 and 597.36 is: 824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.50 : 1,339.44 = 597.36 : x
  2. Step 2: Convert to fraction form
    970.50/1,339.44 = 597.36/x
  3. Step 3: Cross multiply
    970.50x = 1,339.44 × 597.36
  4. Step 4: Simplify right side
    970.50x = 800,127.88
  5. Step 5: Solve for x
    x = 800,127.88/970.50
  6. Step 6: Final answer
    x = 824.45

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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.