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Finding the Fourth Proportional to 970.49, 1,339.34 and 545.15

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Solution

The fourth proportional to 970.49, 1,339.34 and 545.15 is: 752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.49 : 1,339.34 = 545.15 : x
  2. Step 2: Convert to fraction form
    970.49/1,339.34 = 545.15/x
  3. Step 3: Cross multiply
    970.49x = 1,339.34 × 545.15
  4. Step 4: Simplify right side
    970.49x = 730,131.78
  5. Step 5: Solve for x
    x = 730,131.78/970.49
  6. Step 6: Final answer
    x = 752.34

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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.