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Finding the Fourth Proportional to 707.26, 1,055.84 and 615.02

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Solution

The fourth proportional to 707.26, 1,055.84 and 615.02 is: 918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.26 : 1,055.84 = 615.02 : x
  2. Step 2: Convert to fraction form
    707.26/1,055.84 = 615.02/x
  3. Step 3: Cross multiply
    707.26x = 1,055.84 × 615.02
  4. Step 4: Simplify right side
    707.26x = 649,362.72
  5. Step 5: Solve for x
    x = 649,362.72/707.26
  6. Step 6: Final answer
    x = 918.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.