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Finding the Fourth Proportional to 970.48, 1,339.32 and 597.48

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Solution

The fourth proportional to 970.48, 1,339.32 and 597.48 is: 824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.48 : 1,339.32 = 597.48 : x
  2. Step 2: Convert to fraction form
    970.48/1,339.32 = 597.48/x
  3. Step 3: Cross multiply
    970.48x = 1,339.32 × 597.48
  4. Step 4: Simplify right side
    970.48x = 800,216.91
  5. Step 5: Solve for x
    x = 800,216.91/970.48
  6. Step 6: Final answer
    x = 824.56

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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.