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Finding the Fourth Proportional to 973.07, 1,342.81 and 530.98

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Solution

The fourth proportional to 973.07, 1,342.81 and 530.98 is: 732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.07 : 1,342.81 = 530.98 : x
  2. Step 2: Convert to fraction form
    973.07/1,342.81 = 530.98/x
  3. Step 3: Cross multiply
    973.07x = 1,342.81 × 530.98
  4. Step 4: Simplify right side
    973.07x = 713,005.25
  5. Step 5: Solve for x
    x = 713,005.25/973.07
  6. Step 6: Final answer
    x = 732.74

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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.