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Finding the Fourth Proportional to 1,046.40, 1,569.35 and 606.70

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Solution

The fourth proportional to 1,046.40, 1,569.35 and 606.70 is: 909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.40 : 1,569.35 = 606.70 : x
  2. Step 2: Convert to fraction form
    1,046.40/1,569.35 = 606.70/x
  3. Step 3: Cross multiply
    1,046.40x = 1,569.35 × 606.70
  4. Step 4: Simplify right side
    1,046.40x = 952,124.65
  5. Step 5: Solve for x
    x = 952,124.65/1,046.40
  6. Step 6: Final answer
    x = 909.91

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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.