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Finding the Fourth Proportional to 1,153.57, 1,590.82 and 1,030.45

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Solution

The fourth proportional to 1,153.57, 1,590.82 and 1,030.45 is: 1,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.57 : 1,590.82 = 1,030.45 : x
  2. Step 2: Convert to fraction form
    1,153.57/1,590.82 = 1,030.45/x
  3. Step 3: Cross multiply
    1,153.57x = 1,590.82 × 1,030.45
  4. Step 4: Simplify right side
    1,153.57x = 1,639,260.47
  5. Step 5: Solve for x
    x = 1,639,260.47/1,153.57
  6. Step 6: Final answer
    x = 1,421.03

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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.