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Finding the Fourth Proportional to 1,152.69, 1,589.90 and 710.84

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Solution

The fourth proportional to 1,152.69, 1,589.90 and 710.84 is: 980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.69 : 1,589.90 = 710.84 : x
  2. Step 2: Convert to fraction form
    1,152.69/1,589.90 = 710.84/x
  3. Step 3: Cross multiply
    1,152.69x = 1,589.90 × 710.84
  4. Step 4: Simplify right side
    1,152.69x = 1,130,158.34
  5. Step 5: Solve for x
    x = 1,130,158.34/1,152.69
  6. Step 6: Final answer
    x = 980.45

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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.