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Finding the Fourth Proportional to 970.84, 1,452.48 and 581.14

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Solution

The fourth proportional to 970.84, 1,452.48 and 581.14 is: 869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.84 : 1,452.48 = 581.14 : x
  2. Step 2: Convert to fraction form
    970.84/1,452.48 = 581.14/x
  3. Step 3: Cross multiply
    970.84x = 1,452.48 × 581.14
  4. Step 4: Simplify right side
    970.84x = 844,094.23
  5. Step 5: Solve for x
    x = 844,094.23/970.84
  6. Step 6: Final answer
    x = 869.45

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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.