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Finding the Fourth Proportional to 1,153.20, 1,590.96 and 710.88

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Solution

The fourth proportional to 1,153.20, 1,590.96 and 710.88 is: 980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.20 : 1,590.96 = 710.88 : x
  2. Step 2: Convert to fraction form
    1,153.20/1,590.96 = 710.88/x
  3. Step 3: Cross multiply
    1,153.20x = 1,590.96 × 710.88
  4. Step 4: Simplify right side
    1,153.20x = 1,130,981.64
  5. Step 5: Solve for x
    x = 1,130,981.64/1,153.20
  6. Step 6: Final answer
    x = 980.73

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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.