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Finding the Fourth Proportional to 740.10, 1,115.49 and 707.16

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Solution

The fourth proportional to 740.10, 1,115.49 and 707.16 is: 1,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.10 : 1,115.49 = 707.16 : x
  2. Step 2: Convert to fraction form
    740.10/1,115.49 = 707.16/x
  3. Step 3: Cross multiply
    740.10x = 1,115.49 × 707.16
  4. Step 4: Simplify right side
    740.10x = 788,829.91
  5. Step 5: Solve for x
    x = 788,829.91/740.10
  6. Step 6: Final answer
    x = 1,065.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.