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Finding the Fourth Proportional to 1,061.37, 1,465.19 and 707.88

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Solution

The fourth proportional to 1,061.37, 1,465.19 and 707.88 is: 977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.37 : 1,465.19 = 707.88 : x
  2. Step 2: Convert to fraction form
    1,061.37/1,465.19 = 707.88/x
  3. Step 3: Cross multiply
    1,061.37x = 1,465.19 × 707.88
  4. Step 4: Simplify right side
    1,061.37x = 1,037,175.16
  5. Step 5: Solve for x
    x = 1,037,175.16/1,061.37
  6. Step 6: Final answer
    x = 977.20

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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.