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Finding the Fourth Proportional to 1,094.70, 1,639.65 and 973.10

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Solution

The fourth proportional to 1,094.70, 1,639.65 and 973.10 is: 1,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.70 : 1,639.65 = 973.10 : x
  2. Step 2: Convert to fraction form
    1,094.70/1,639.65 = 973.10/x
  3. Step 3: Cross multiply
    1,094.70x = 1,639.65 × 973.10
  4. Step 4: Simplify right side
    1,094.70x = 1,595,543.42
  5. Step 5: Solve for x
    x = 1,595,543.42/1,094.70
  6. Step 6: Final answer
    x = 1,457.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.