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Finding the Fourth Proportional to 970.16, 1,339.08 and 597.20

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Solution

The fourth proportional to 970.16, 1,339.08 and 597.20 is: 824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.16 : 1,339.08 = 597.20 : x
  2. Step 2: Convert to fraction form
    970.16/1,339.08 = 597.20/x
  3. Step 3: Cross multiply
    970.16x = 1,339.08 × 597.20
  4. Step 4: Simplify right side
    970.16x = 799,698.58
  5. Step 5: Solve for x
    x = 799,698.58/970.16
  6. Step 6: Final answer
    x = 824.30

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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.