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Finding the Fourth Proportional to 1,038.15, 1,433.57 and 706.47

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Solution

The fourth proportional to 1,038.15, 1,433.57 and 706.47 is: 975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.15 : 1,433.57 = 706.47 : x
  2. Step 2: Convert to fraction form
    1,038.15/1,433.57 = 706.47/x
  3. Step 3: Cross multiply
    1,038.15x = 1,433.57 × 706.47
  4. Step 4: Simplify right side
    1,038.15x = 1,012,770.67
  5. Step 5: Solve for x
    x = 1,012,770.67/1,038.15
  6. Step 6: Final answer
    x = 975.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.