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Finding the Fourth Proportional to 1,046.16, 1,569.60 and 397.08

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Solution

The fourth proportional to 1,046.16, 1,569.60 and 397.08 is: 595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.16 : 1,569.60 = 397.08 : x
  2. Step 2: Convert to fraction form
    1,046.16/1,569.60 = 397.08/x
  3. Step 3: Cross multiply
    1,046.16x = 1,569.60 × 397.08
  4. Step 4: Simplify right side
    1,046.16x = 623,256.77
  5. Step 5: Solve for x
    x = 623,256.77/1,046.16
  6. Step 6: Final answer
    x = 595.76

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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.