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Finding the Fourth Proportional to 1,046.55, 1,569.83 and 977.70

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Solution

The fourth proportional to 1,046.55, 1,569.83 and 977.70 is: 1,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.55 : 1,569.83 = 977.70 : x
  2. Step 2: Convert to fraction form
    1,046.55/1,569.83 = 977.70/x
  3. Step 3: Cross multiply
    1,046.55x = 1,569.83 × 977.70
  4. Step 4: Simplify right side
    1,046.55x = 1,534,817.90
  5. Step 5: Solve for x
    x = 1,534,817.90/1,046.55
  6. Step 6: Final answer
    x = 1,466.55

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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.