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Finding the Fourth Proportional to 1,257.24, 1,886.58 and 710.04

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Solution

The fourth proportional to 1,257.24, 1,886.58 and 710.04 is: 1,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.24 : 1,886.58 = 710.04 : x
  2. Step 2: Convert to fraction form
    1,257.24/1,886.58 = 710.04/x
  3. Step 3: Cross multiply
    1,257.24x = 1,886.58 × 710.04
  4. Step 4: Simplify right side
    1,257.24x = 1,339,547.26
  5. Step 5: Solve for x
    x = 1,339,547.26/1,257.24
  6. Step 6: Final answer
    x = 1,065.47

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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.