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Finding the Fourth Proportional to 1,125.93, 1,554.51 and 706.90

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Solution

The fourth proportional to 1,125.93, 1,554.51 and 706.90 is: 975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.93 : 1,554.51 = 706.90 : x
  2. Step 2: Convert to fraction form
    1,125.93/1,554.51 = 706.90/x
  3. Step 3: Cross multiply
    1,125.93x = 1,554.51 × 706.90
  4. Step 4: Simplify right side
    1,125.93x = 1,098,883.12
  5. Step 5: Solve for x
    x = 1,098,883.12/1,125.93
  6. Step 6: Final answer
    x = 975.98

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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.