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Finding the Fourth Proportional to 970.12, 1,339.10 and 597.12

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Solution

The fourth proportional to 970.12, 1,339.10 and 597.12 is: 824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.12 : 1,339.10 = 597.12 : x
  2. Step 2: Convert to fraction form
    970.12/1,339.10 = 597.12/x
  3. Step 3: Cross multiply
    970.12x = 1,339.10 × 597.12
  4. Step 4: Simplify right side
    970.12x = 799,603.39
  5. Step 5: Solve for x
    x = 799,603.39/970.12
  6. Step 6: Final answer
    x = 824.23

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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.