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Finding the Fourth Proportional to 1,031.69, 1,547.19 and 476.17

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Solution

The fourth proportional to 1,031.69, 1,547.19 and 476.17 is: 714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.69 : 1,547.19 = 476.17 : x
  2. Step 2: Convert to fraction form
    1,031.69/1,547.19 = 476.17/x
  3. Step 3: Cross multiply
    1,031.69x = 1,547.19 × 476.17
  4. Step 4: Simplify right side
    1,031.69x = 736,727.40
  5. Step 5: Solve for x
    x = 736,727.40/1,031.69
  6. Step 6: Final answer
    x = 714.10

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Double scale
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1.5x scale

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.