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Finding the Fourth Proportional to 1,312.68, 1,970.01 and 491.16

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Solution

The fourth proportional to 1,312.68, 1,970.01 and 491.16 is: 737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.68 : 1,970.01 = 491.16 : x
  2. Step 2: Convert to fraction form
    1,312.68/1,970.01 = 491.16/x
  3. Step 3: Cross multiply
    1,312.68x = 1,970.01 × 491.16
  4. Step 4: Simplify right side
    1,312.68x = 967,590.11
  5. Step 5: Solve for x
    x = 967,590.11/1,312.68
  6. Step 6: Final answer
    x = 737.11

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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.