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Finding the Fourth Proportional to 1,535.03, 2,302.32 and 560.91

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Solution

The fourth proportional to 1,535.03, 2,302.32 and 560.91 is: 841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.03 : 2,302.32 = 560.91 : x
  2. Step 2: Convert to fraction form
    1,535.03/2,302.32 = 560.91/x
  3. Step 3: Cross multiply
    1,535.03x = 2,302.32 × 560.91
  4. Step 4: Simplify right side
    1,535.03x = 1,291,394.31
  5. Step 5: Solve for x
    x = 1,291,394.31/1,535.03
  6. Step 6: Final answer
    x = 841.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.