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Finding the Fourth Proportional to 1,046.35, 1,569.53 and 657.55

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Solution

The fourth proportional to 1,046.35, 1,569.53 and 657.55 is: 986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.35 : 1,569.53 = 657.55 : x
  2. Step 2: Convert to fraction form
    1,046.35/1,569.53 = 657.55/x
  3. Step 3: Cross multiply
    1,046.35x = 1,569.53 × 657.55
  4. Step 4: Simplify right side
    1,046.35x = 1,032,041.16
  5. Step 5: Solve for x
    x = 1,032,041.16/1,046.35
  6. Step 6: Final answer
    x = 986.33

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Why These Related Problems?

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