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Finding the Fourth Proportional to 970.40, 1,456.18 and 750.18

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Solution

The fourth proportional to 970.40, 1,456.18 and 750.18 is: 1,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.40 : 1,456.18 = 750.18 : x
  2. Step 2: Convert to fraction form
    970.40/1,456.18 = 750.18/x
  3. Step 3: Cross multiply
    970.40x = 1,456.18 × 750.18
  4. Step 4: Simplify right side
    970.40x = 1,092,397.11
  5. Step 5: Solve for x
    x = 1,092,397.11/970.40
  6. Step 6: Final answer
    x = 1,125.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.