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Finding the Fourth Proportional to 1,152.14, 1,590.23 and 710.42

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Solution

The fourth proportional to 1,152.14, 1,590.23 and 710.42 is: 980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.14 : 1,590.23 = 710.42 : x
  2. Step 2: Convert to fraction form
    1,152.14/1,590.23 = 710.42/x
  3. Step 3: Cross multiply
    1,152.14x = 1,590.23 × 710.42
  4. Step 4: Simplify right side
    1,152.14x = 1,129,725.02
  5. Step 5: Solve for x
    x = 1,129,725.02/1,152.14
  6. Step 6: Final answer
    x = 980.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.