Home / 1,031.03-1,547.23-962.69

Finding the Fourth Proportional to 1,031.03, 1,547.23 and 962.69

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Solution

The fourth proportional to 1,031.03, 1,547.23 and 962.69 is: 1,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.03 : 1,547.23 = 962.69 : x
  2. Step 2: Convert to fraction form
    1,031.03/1,547.23 = 962.69/x
  3. Step 3: Cross multiply
    1,031.03x = 1,547.23 × 962.69
  4. Step 4: Simplify right side
    1,031.03x = 1,489,492.71
  5. Step 5: Solve for x
    x = 1,489,492.71/1,031.03
  6. Step 6: Final answer
    x = 1,444.66

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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.